1. The problem is to find the value of $100!$, which means the factorial of 100. 2. The factorial of a positive integer $n$, denoted $n!$, is the product of all positive integers from 1 to $n$. 3. So, $100! = 100 \times 99 \times 98 \times \cdots \times 2 \times 1$. 4. This number is extremely large and cannot be easily computed by hand. 5. The exact value of $100!$ is: $$93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000$$ 6. Factorials grow very fast, so $100!$ is a very large number with 158 digits.