Observation gives rise to a problem! (Part 2)

Algebra Level 4

∑r=1101000r2\Large\displaystyle\sum_{r=1}^{10^{1000}} r^2

What is the value of the sum of digits of the summation above?

Bonus: Generalize for 10n10^n.

Try Part 1 (click here).
Nihar Mahajan by Nihar Mahajan
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