122111120122101 has 24 divisors (see below), whose sum is σ = 192456262574784. Its totient is φ = 73991839484160.

The previous prime is 122111120122081. The next prime is 122111120122109. The reversal of 122111120122101 is 101221021111221.

It is a happy number.

It is not a de Polignac number, because 122111120122101 - 2²⁵ = 122111086567669 is a prime.

It is a super-2 number, since 2×122111120122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111120122109) 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, 123672316 + ... + 124655781.

It is an arithmetic number, because the mean of its divisors is an integer number (8019010940616).

Almost surely, 2^{122111120122101} is an apocalyptic number.

122111120122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111120122101 is a deficient number, since it is larger than the sum of its proper divisors (70345142452683).

122111120122101 is a wasteful number, since it uses less digits than its factorization.

122111120122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248333081 (or 248333078 counting only the distinct ones).

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

Adding to 122111120122101 its reverse (101221021111221), we get a palindrome (223332141233322).

The spelling of 122111120122101 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".