100022102120 has 64 divisors (see below), whose sum is σ = 226604459520. Its totient is φ = 39732968704.

The previous prime is 100022102023. The next prime is 100022102129. The reversal of 100022102120 is 21201220001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100022102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6545609 + ... + 6560871.

It is an arithmetic number, because the mean of its divisors is an integer number (3540694680).

Almost surely, 2^100022102120 is an apocalyptic number.

100022102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022102120 is an abundant number, since it is smaller than the sum of its proper divisors (126582357400).

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

100022102120 is a wasteful number, since it uses less digits than its factorization.

100022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022102120 its reverse (21201220001), we get a palindrome (121223322121).

The spelling of 100022102120 in words is "one hundred billion, twenty-two million, one hundred two thousand, one hundred twenty".