What are my chances at Caltech/MIT EA?

Indian American Male
SAT 1580, Math 2 800, Physics 800, Chemistry 800
Weighted GPA 4.90/5, unweighted: 4.0
Rank: NA (school does not give a rank)
Co-founder & President Math Club, Math(AMC, AIME 7), USMCA national finalist, several other honors in Math contests.
USACO Platinum
Internship: Research in Computer Vision/Image processing Patent pending
NHS

You are clearly competitive. IMHO it is definitely worth applying. You also clearly need safety schools.

I doubt that your chances are much different from the overall percentage of students who are accepted.

Thank you for your response. Since I’m applying to Caltech/MIT EA as they are my first choice, that means I cannot apply to some of the other schools like Stanford/ CMU/Ivyes EA/ED. I will be applying to them in RD. Any thoughts on how my stats look for RD in these schools?
For safety schools what are some good suggestions? I’m applying to UCs and CalPoly as well.