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 by $n!$, 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. Typically, factorials of large numbers are computed using software or approximated using Stirling's formula. 6. The exact value of $100!$ is: $$93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000$$ 7. This is a 158-digit number representing the product of all integers from 1 to 100.