100021001122120 has 64 divisors (see below), whose sum is σ = 242422921681920. Its totient is φ = 36921026682624.

The previous prime is 100021001122111. The next prime is 100021001122157. The reversal of 100021001122120 is 21221100120001.

It is a super-2 number, since 2×100021001122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100021001122120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23571832 + ... + 27489511.

It is an arithmetic number, because the mean of its divisors is an integer number (3787858151280).

Almost surely, 2^{100021001122120} is an apocalyptic number.

100021001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021001122120 is an abundant number, since it is smaller than the sum of its proper divisors (142401920559800).

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

100021001122120 is a wasteful number, since it uses less digits than its factorization.

100021001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51065134 (or 51065130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100021001122120 its reverse (21221100120001), we get a palindrome (121242101242121).

The spelling of 100021001122120 in words is "one hundred trillion, twenty-one billion, one million, one hundred twenty-two thousand, one hundred twenty".