122211022102101 has 24 divisors (see below), whose sum is σ = 178641068898240. Its totient is φ = 80499644719296.

The previous prime is 122211022102079. The next prime is 122211022102109. The reversal of 122211022102101 is 101201220112221.

122211022102101 is a `hidden beast` number, since 1 + 2 + 221 + 10 + 221 + 0 + 210 + 1 = 666.

It is not a de Polignac number, because 122211022102101 - 2⁵ = 122211022102069 is a prime.

It is a super-2 number, since 2×122211022102101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211022102109) 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, 54710835 + ... + 56900768.

It is an arithmetic number, because the mean of its divisors is an integer number (7443377870760).

Almost surely, 2^{122211022102101} is an apocalyptic number.

It is an amenable number.

122211022102101 is a deficient number, since it is larger than the sum of its proper divisors (56430046796139).

122211022102101 is a wasteful number, since it uses less digits than its factorization.

122211022102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111613065 (or 111613062 counting only the distinct ones).

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

Adding to 122211022102101 its reverse (101201220112221), we get a palindrome (223412242214322).

The spelling of 122211022102101 in words is "one hundred twenty-two trillion, two hundred eleven billion, twenty-two million, one hundred two thousand, one hundred one".