The exact factorial of 102 is:

961446671503512660926865558697259548455355905059659464369444714048531715130254590603314961882364451384985595980362059157503710042865532928000000000000000000000000

📌 Number of digits in the exact factorial of 102! = 162.

Approximately, the value of 102! can also be written as 9.614466715 E+161.

How to calculate 102!

The formula for finding the factorial of a number is:

n! = n × (n-1) × (n-2) × … × 2 × 1

The same formula can also be written in terms of PI product notation as:

Factorial Formula

So, by definition, 102! is calculated as:

102 × 101 × 100 × … × 2 × 1

Also see:

Frequently asked questions

Here are some frequently asked questions about factorial of 102:

How many digits are there in the exact value of 102!?

There are 162 digits in the exact value of 102!.

What is the value of 102 factorial in terms of E?

The value of 102! in terms of E is 9.614466715 E+161.

What are the uses of factorials?

According to Wikipedia:

In mathematical analysis, factorials are used in power series for the exponential function and other functions, and they also have applications in algebra, number theory, probability theory, and computer science.