The exact factorial of 101 is:

9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000

📌 Number of digits in the exact factorial of 101! = 160.

Approximately, the value of 101! can also be written as 9.425947759 E+159.

## How to calculate 101!

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: So, by definition, 101! is calculated as:

101 × 100 × 99 × … × 2 × 1

Also see:

### How many digits are there in the exact value of 101!?

There are 160 digits in the exact value of 101!.

### What is the value of 101 factorial in terms of E?

The value of 101! in terms of E is 9.425947759 E+159.

### 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.