Chance me for Princeton/MIT?

I’m currently a High School Sophomore, but I’m going to be forced to graduate as a Junior (it’s a long story) so I’d like to see what my chances may be for Princeton/MIT
I’m a non-legacy white dude with a family income of about $100k (5 people, if that matters) I’ve taken all my classes since the 9th grade at my local university acting as a full-time math major. I have a 5.0 weighted GPA (the max possible at my school) and perfect SAT score, (I haven’t taken the SAT subject tests yet though).

ECs:

Arts: Danced ballet an average of about 10-12 hours a week since I was 4, got into and attended 4 semi-prestigious ballet summer intensives all with full scholarships. Vocal lessons since I was 6 an average of about 2 hours a week. Heavily involved in musical theatre, about 3 musicals a year with a few at semi-professional or professional companies.

Academic: Founder and president of the mathematics club at my high school. We provide free tutoring for under-preforming math students and compete in competitions. President of a post-secondary student organization at my current university. Mainly a social group, but we also volunteer in our community a lot. I also am currently doing a 2-semester applied math research internship under a fairly respected professor at my current university.
I also have a few hundred volunteer hours helping out at local Elementary schools. With jobs ranging from helping teachers handle huge classes to privately tutoring under-preforming students.

In math I finished calculus 2 and 3 at my current university as a 9th grader and am currently taking proofs in discrete math which, at my current uni, is a class meant for junior math majors. Next semester I plan on taking multiple senior math-major level proof classes, chemistry, and ordinary diff eq. All my subjects have also been taken at my university (I’m going to end up with about 110 college credits when I graduate high school)
Do I have a decent shot at Princeton or MIT? Im trying to figure out what else I should do in the next year to prepare for admissions. I have two potential rec letters that should be VERY good (one from a math professor who loves me and one from an english professor who loves me) amd I know a few harvard grads who will help me with my application essays.

yo what the heck, you have an amazing background. you could make it, they love it when you take challenging classes, which you did. your ec’s are good too. Good luck buddy

You’re a very strong candidate but make sure you have all the required courses under your belt when you graduate.

I don’t do “chances,” but I’d highly encourage you to apply especially to Princeton. In recent years, Princeton has set their initiatives to strengthen and elevate their arts programs and opportunities, and they highly covet those students with excellence both in academics and the arts. Take a look at their $300M newly constructed Lewis Center for the Arts complex which houses, among other programs, theater and dance. Also, take a look at the Princeton Triangle Club with its long history. Be sure to submit the arts supplement. Should you be admitted, their FA offer, given your family’s annual gross income, should be tuition free plus a certain % of room and board covered. Run the Princeton NPC and see for yourself. You’re more advanced in math than many of your peers, and that should play to your advantage at a place like Princeton with the top math program in the world. Good luck!

Good shot at elite schools.

Depending on your personal situation, I would encourage thinking about a gap year perhaps before matriculating.

^^ Good point regarding the suggestion of taking a gap year. My son has done just that before matriculating.

OP - Take a serious look at Princeton’s “Bridge Year Program.” Princeton actively encourages gap year among those incoming freshmen who are so inclined. Once you get accepted to this program, it’s all paid for. My son decided not to apply for this program because the country he was interested in wasn’t a part of the program and what he wanted to accomplish during his gap year couldn’t be achieved through the program.

https://www.princeton.edu/bridgeyear/