100021322133100 has 72 divisors (see below), whose sum is σ = 229826989662480. Its totient is φ = 37652907909120.

The previous prime is 100021322133043. The next prime is 100021322133107. The reversal of 100021322133100 is 1331223120001.

It is a super-2 number, since 2×100021322133100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100021322133107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27847971 + ... + 31233829.

It is an arithmetic number, because the mean of its divisors is an integer number (3192041523090).

Almost surely, 2^{100021322133100} is an apocalyptic number.

100021322133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021322133100 is an abundant number, since it is smaller than the sum of its proper divisors (129805667529380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021322133100 is a wasteful number, since it uses less digits than its factorization.

100021322133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403267 (or 3403260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100021322133100 its reverse (1331223120001), we get a palindrome (101352545253101).

The spelling of 100021322133100 in words is "one hundred trillion, twenty-one billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred".