# Don't expect me to do these calculations!

**Algebra**Level 3

\[ \large \color{blue}{21!}^{\color{purple}{1000}}\]

Find the total number of digits when the number above is expressed in decimal representation.

**Details and Assumptions**

It is twenty-one factorial raised to the power of one thousand.

You may use the fact that \(21! = 51,090,942,171,709,440,000 \)