100? Wow.
If you have any kind of success in getting interview invites, you will have the problem of dealing with all of them - scheduling, canceling, etc. I know - a "good" problem to have, from the prospective of a nervous applicant in mid September - but there is a lot of stress in this process, and it is possible to have too much of a good thing.
I applied to around 25 programs, got something like 18 or 19 invites, and ended up attending about 12 interviews. Looking back on it, I overextended myself on the interviews, most of them involved air travel, thus $$$ - 8 or 9 interviews, tops, would have sufficed. And in retrospect, I over applied, too; 15 to 20 would have been more than enough. And the one thing I remember about all of it is the handling of invites that come in over a 2 month period, thus you are constantly evaluating whether or not to go to interviews, moving them around, canceling them, and wanting to be professional about all of it, not canceling anything last minute. There were a couple of programs I kind of jerked around - set a date, moved it to a later date, and ultimately canceled. With 100, you may get covered up with invites you really don't want to bother with, but initially you will schedule them, out of anxiety. Just deal with these programs professionally and ethically, not always the easiest thing to do in the fog of war that is coming your way.
Good luck.