You have a typo in there. You want https://www.google.com/search?q=%2810%5E100%29%2B1-%2810%5E1... . Google also gets the "wrong answer" for this expression, 0 instead of 1.

This feels like it needs its own post. Just had to check my goto, Qalculate, which similarly gives -10^200

Interesting, my favorite one on Android - HiPER Calc - does it correctly and returns 1.