122111102113 has 64 divisors (see below), whose sum is σ = 166516406784. Its totient is φ = 86469120000.

The previous prime is 122111102089. The next prime is 122111102149. The reversal of 122111102113 is 311201111221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122111102113 - 2⁹ = 122111101601 is a prime.

It is a super-2 number, since 2×122111102113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111103113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18295945 + ... + 18302617.

It is an arithmetic number, because the mean of its divisors is an integer number (2601818856).

Almost surely, 2^122111102113 is an apocalyptic number.

122111102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122111102113 is a deficient number, since it is larger than the sum of its proper divisors (44405304671).

122111102113 is a wasteful number, since it uses less digits than its factorization.

122111102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 122111102113 its reverse (311201111221), we get a palindrome (433312213334).

The spelling of 122111102113 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred thirteen".