122211210112101 has 16 divisors (see below), whose sum is σ = 197513066848320. Its totient is φ = 74067400067760.

The previous prime is 122211210112093. The next prime is 122211210112129. The reversal of 122211210112101 is 101211012112221.

It is a happy number.

122211210112101 is a `hidden beast` number, since 1 + 22 + 211 + 210 + 11 + 210 + 1 = 666.

It is not a de Polignac number, because 122211210112101 - 2³ = 122211210112093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211210112151) 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, 205742777670 + ... + 205742778263.

It is an arithmetic number, because the mean of its divisors is an integer number (12344566678020).

Almost surely, 2^{122211210112101} is an apocalyptic number.

122211210112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211210112101 is a deficient number, since it is larger than the sum of its proper divisors (75301856736219).

122211210112101 is a wasteful number, since it uses less digits than its factorization.

122211210112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411485555953 (or 411485555947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122211210112101 its reverse (101211012112221), we get a palindrome (223422222224322).

The spelling of 122211210112101 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, one hundred one".