Realistically what are my chances of getting into Princeton or the other Ivy league schools

GPA is a 4.0 unweighted
Weighted my GPA is a 4.46 and I am number 1 in my class. I will have taken a total of 19 AP classes by the time my senior year ends. Some of these classes were taken online over the summer. Also I am a senior currently.

My ACT single score is a 32 with a 31 on English and 32 on math a 33 on reading and a 32 on science.
My super score ACT is a 33 with a 31 on English a 32 on math a 36 on reading and a 34 in science.
I got a 800 on my math level 2 SAT subject test and I got a 770 on my biology SAT subject test.

For extracurricular activities I am a member of the math team, astronomy club, chess club, Mock trail, national honor society, national technical honors society, national math honors society, science Olympiad, Academic team, beta club, also some tutoring program, and I created my own tutoring program.

Awards I won for these clubs where that in Academic team we where 5th in the national competition after wining state and regions and are hoping to get there again this year. For the other clubs I have placed in some regional events and I am also a leader Science Olympiad and I am the co-president of the chess club. I am also a national AP scholar.

For volunteer work I have done about a total of 150 hours of community service mainly with helping to tutor underprivileged elementary school children and I also created my own tutoring organization that helps to help the kids closer to where they live. However, this organization is not been very successful. Beyond that I have just done other odd jobs helping out with different clubs service project. Also on the weekends I volunteer at a organic farmers market. Also for research I am doing a project currently outside of class about injecting DNA through feeding into fruit flies. I also did some other more basic projects such as a Rube Goldberg machine all outside of school.

For recommendations I have some very nice recommendation from my teachers. However my personal background is nothing special just a upper middle class, white male.

Your stats are competitive. They will get you in the door and then your essays, teacher recommendations and EC’s
will determine whether or not you get in.

As a parent of three children that all were fortunate enough to get accepted to highly selective colleges, I can tell you that posters on CC that give the impression that stats need to be perfect to get in, have no idea what they are talking about. None of my kids had perfect scores. Our school offered no AP classes or IB program, but they all took advantage of the opportunities that were put in front of them and let their passions shine through in their essays.

We are a white middle class family with no hooks and they graduated from a public school with graduating classes of 21. 18, and 11. (Yale, Stanford and Princeton)

Somehow the admission counselors will figure out where you belong. I cannot imagine my three kids being anywhere other than where they ended up but no idea how admission counselors figured this out other than through their essays where they let their passions shine through.

Take a breath–enjoy the rest of your senior year and you will end up somewhere amazing!

Best of luck!

You appear to be a fully qualified applicant, so acceptance is a realistic outcome. Unfortunately, realistic does mean the same thing as statistically likely.