Should I even consider Caltech as a possible college to apply to?

<p>I am looking for schools strong in CS, and many people on CC have helped me put together this list:

</p>

<p>What is your opinion and recommendations on this? Also, I’ve talked to my dad recently about applying to schools, and he asked me how many I wanted to apply to. I said somewhere between 10-15 schools, and he seemed surprised. He said he would be content with me applying up to twenty schools if I wanted to, just to be on the safe side. He doesn’t want me to end up with having no college to go to - of course, this might be a bit overkill.</p>