Now it comes 11

\[\large \color{blue}{11}^{\color{brown}{11}^{\color{green}{11}}}\]

What are the last two digits of the number above?


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

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

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