100202131322199 has 48 divisors (see below), whose sum is σ = 151313894746560. Its totient is φ = 63776718973440.

The previous prime is 100202131322191. The next prime is 100202131322203. The reversal of 100202131322199 is 991223131202001.

100202131322199 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 2 + 131 + 322 + 199 = 666.

It is not a de Polignac number, because 100202131322199 - 2³ = 100202131322191 is a prime.

It is a super-2 number, since 2×100202131322199² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202131322191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234170067 + ... + 234597579.

It is an arithmetic number, because the mean of its divisors is an integer number (3152372807220).

Almost surely, 2^{100202131322199} is an apocalyptic number.

100202131322199 is a deficient number, since it is larger than the sum of its proper divisors (51111763424361).

100202131322199 is a wasteful number, since it uses less digits than its factorization.

100202131322199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429672 (or 429669 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 100202131322199 in words is "one hundred trillion, two hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred ninety-nine".