100202131322131 has 12 divisors (see below), whose sum is σ = 102707149739976. Its totient is φ = 97756791658880.

The previous prime is 100202131322123. The next prime is 100202131322149. The reversal of 100202131322131 is 131223131202001.

It is not a de Polignac number, because 100202131322131 - 2³ = 100202131322123 is a prime.

It is a super-2 number, since 2×100202131322131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202131322101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130268895 + ... + 131035831.

It is an arithmetic number, because the mean of its divisors is an integer number (8558929144998).

Almost surely, 2^{100202131322131} is an apocalyptic number.

100202131322131 is a deficient number, since it is larger than the sum of its proper divisors (2505018417845).

100202131322131 is an frugal number, since it uses more digits than its factorization.

100202131322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844742 (or 844701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100202131322131 its reverse (131223131202001), we get a palindrome (231425262524132).

The spelling of 100202131322131 in words is "one hundred trillion, two hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred thirty-one".