100222122110120 has 64 divisors (see below), whose sum is σ = 229874598447120. Its totient is φ = 39311893264384.

The previous prime is 100222122110093. The next prime is 100222122110137. The reversal of 100222122110120 is 21011221222001.

It can be written as a sum of positive squares in 8 ways, for example, as 97357965276196 + 2864156833924 = 9867014^2 + 1692382^2 .

It is a super-2 number, since 2×100222122110120² (a number of 29 digits) contains 22 as substring.

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, 8300579 + ... + 16411698.

Almost surely, 2^{100222122110120} is an apocalyptic number.

100222122110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222122110120 is an abundant number, since it is smaller than the sum of its proper divisors (129652476337000).

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

100222122110120 is a wasteful number, since it uses less digits than its factorization.

100222122110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24714254 (or 24714250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222122110120 its reverse (21011221222001), we get a palindrome (121233343332121).

The spelling of 100222122110120 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".