100022112120 has 64 divisors (see below), whose sum is σ = 342932958720. Its totient is φ = 22862196864.

The previous prime is 100022112119. The next prime is 100022112131. The reversal of 100022112120 is 21211220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100022112096 and 100022112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59536132 + ... + 59537811.

It is an arithmetic number, because the mean of its divisors is an integer number (5358327480).

Almost surely, 2^100022112120 is an apocalyptic number.

100022112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022112120 is an abundant number, since it is smaller than the sum of its proper divisors (242910846600).

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

100022112120 is a wasteful number, since it uses less digits than its factorization.

100022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119073964 (or 119073960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022112120 its reverse (21211220001), we get a palindrome (121233332121).

The spelling of 100022112120 in words is "one hundred billion, twenty-two million, one hundred twelve thousand, one hundred twenty".