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:
Frequently asked questions
Here are some frequently asked questions about factorial of 101:
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.