Hmm..
I was not aware of the "INTP" designation at that point. Being how I am, however (INTP or whatever, I am quite introverted), effected a relative lack of social life for me. I didn't want more than a few friends, and I was practically oblivious to most of the people around me and their lives; the most I did with others of my own volition was meet up with a small table-top RP group once a month.
I would sometimes go when I got invited to things, which happened sporadically, and I would get dragged along with my parents to a party once in awhile. Sometimes I got dragged into giving explanations for/perspectives on things, or ideas I had come up with, otherwise I was always just in a corner somewhere.
Alone, I read books, messed around in the computer lab, pursued my own interests. I went to a few science clubs after school - not for the socializing, but for what I could learn. I might even just wander aimlessly or sit outside while everybody else was in classes, just to be left alone.
In the eyes of others, I was probably always that weird one they avoided for being a social pariah. I was in the advanced classes and all that, which was probably another social strike. I guess I sometimes ended up hanging out with a few others who were the same way.
That suited me just fine, though.
Edit: Forgot the rest of the question. The effect "INTP" (in other words, finding this designation for myself) has had on me is a bit of research I've put in to understand the system underlying, and some reflection on how accurate it is, when it is accurate, what its proper domain is, etc. It gives me a semi-useful system I can use to analyze and consider the people around me, and my relation to them, though I'm not convinced it is flexible or diverse enough to cover the full range of human complexity.