100021122100100 has 18 divisors (see below), whose sum is σ = 217045834957434. Its totient is φ = 40008448840000.

The previous prime is 100021122100069. The next prime is 100021122100127. The reversal of 100021122100100 is 1001221120001.

It can be written as a sum of positive squares in 3 ways, for example, as 15730948683076 + 84290173417024 = 3966226^2 + 9180968^2 .

It is a super-2 number, since 2×100021122100100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500105610401 + ... + 500105610600.

Almost surely, 2^{100021122100100} is an apocalyptic number.

100021122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021122100100 is an abundant number, since it is smaller than the sum of its proper divisors (117024712857334).

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

100021122100100 is a wasteful number, since it uses less digits than its factorization.

100021122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000211221015 (or 1000211221008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100021122100100 its reverse (1001221120001), we get a palindrome (101022343220101).

The spelling of 100021122100100 in words is "one hundred trillion, twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred".