# Now it comes 11

Number Theory Level 1

$\large \color{blue}{11}^{\color{brown}{11}^{\color{green}{11}}}$

What are the last two digits of the number above?

Bonus 1: Can you generalize this for $$\underbrace{11^{11^{11^{.^{.^.{11}}}}} }_{n \text{ number of } 11 \text{'s}}$$?

Bonus 2: Try not to use Euler's totient function.

×