Powerful Numbers

The lasts 2 digits of any power of 25 is 25, and using the Chinese remainder theorem we can find the last 2 digits of 76^2021 ( consider this number mod 4 and mod 25)= 76. Adding both of them we get 76+25=101

The numbers $25$ and $75$ are automorphic , therefore their last two digits are $25$ and $76$ . ${\color{#D61F06} 25}$ $+$ ${\color{#D61F06} 76}$ $=$ $101$ , hence the answer is $\boxed{{\color{#20A900}101}}$ .