101122220022120 has 192 divisors, whose sum is σ = 358536652568640. Its totient is φ = 24513628492800.

The previous prime is 101122220022077. The next prime is 101122220022137. The reversal of 101122220022120 is 21220022221101.

It is a happy number.

101122220022120 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 222 + 200 + 221 + 20 = 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 = 101122220022093 and 101122220022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117901467 + ... + 118756053.

It is an arithmetic number, because the mean of its divisors is an integer number (1867378398795).

Almost surely, 2^{101122220022120} is an apocalyptic number.

101122220022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122220022120 is an abundant number, since it is smaller than the sum of its proper divisors (257414432546520).

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

101122220022120 is a wasteful number, since it uses less digits than its factorization.

101122220022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884496 (or 884489 counting only the distinct ones).

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

Adding to 101122220022120 its reverse (21220022221101), we get a palindrome (122342242243221).

It can be divided in two parts, 101 and 122220022120, that added together give a palindrome (122220022221).

The spelling of 101122220022120 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, twenty-two thousand, one hundred twenty".