100122122022120 has 320 divisors, whose sum is σ = 379773570211200. Its totient is φ = 23435062801920.

The previous prime is 100122122022031. The next prime is 100122122022137. The reversal of 100122122022120 is 21220221221001.

It is a happy number.

100122122022120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 220 + 221 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100122122022093 and 100122122022102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47402004 + ... + 49469123.

It is an arithmetic number, because the mean of its divisors is an integer number (1186792406910).

Almost surely, 2^{100122122022120} is an apocalyptic number.

100122122022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122122022120 is an abundant number, since it is smaller than the sum of its proper divisors (279651448189080).

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

100122122022120 is a wasteful number, since it uses less digits than its factorization.

100122122022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96871190 (or 96871177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122122022120 its reverse (21220221221001), we get a palindrome (121342343243121).

The spelling of 100122122022120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".