101122011220122 has 48 divisors (see below), whose sum is σ = 221081836379040. Its totient is φ = 33402980426400.

The previous prime is 101122011220121. The next prime is 101122011220123. The reversal of 101122011220122 is 221022110221101.

101122011220122 is a `hidden beast` number, since 10 + 112 + 201 + 1 + 220 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (101122011220121) and next prime (101122011220123).

It is a super-2 number, since 2×101122011220122² (a number of 29 digits) contains 22 as substring.

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 = 101122011220095 and 101122011220104.

It is not an unprimeable number, because it can be changed into a prime (101122011220121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35999904 + ... + 38707067.

It is an arithmetic number, because the mean of its divisors is an integer number (4605871591230).

Almost surely, 2^{101122011220122} is an apocalyptic number.

101122011220122 is an abundant number, since it is smaller than the sum of its proper divisors (119959825158918).

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

101122011220122 is a wasteful number, since it uses less digits than its factorization.

101122011220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74707659 (or 74707656 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122011220122 its reverse (221022110221101), we get a palindrome (322144121441223).

The spelling of 101122011220122 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, two hundred twenty thousand, one hundred twenty-two".