Brain Teaser: The Really, Really, Really Big Number

Here is new brain teaser written by puzzle master Wes Carroll.

The Really, Really, Really Big Number

Difficulty: HARDER
Type: MATH (Numerical/Abstract)
Intimidation Factor: HIGH — but don’t be scared!

Question:
When you divide 12 by 5, the remainder is 2; it’s what’s left over after you have removed all the 5s from the 12.  When you raise 4 to the fifth power (that is, 45), you multiply four by itself five times: 4×4×4×4×4, which equals 1,024.

What is the remainder when you divide 100100 by 11?

Click to read the Solution and Explanation.

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