122111011121 has 32 divisors (see below), whose sum is σ = 137515978368. Its totient is φ = 107497635840.

The previous prime is 122111011111. The next prime is 122111011147. The reversal of 122111011121 is 121110111221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122111011121 is a prime.

It is a super-2 number, since 2×122111011121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122111011096 and 122111011105.

It is not an unprimeable number, because it can be changed into a prime (122111011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9702785 + ... + 9715361.

It is an arithmetic number, because the mean of its divisors is an integer number (4297374324).

Almost surely, 2^122111011121 is an apocalyptic number.

122111011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111011121 is a deficient number, since it is larger than the sum of its proper divisors (15404967247).

122111011121 is a wasteful number, since it uses less digits than its factorization.

122111011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111011121 its reverse (121110111221), we get a palindrome (243221122342).

It can be divided in two parts, 1 and 22111011121, that added together give a palindrome (22111011122).

The spelling of 122111011121 in words is "one hundred twenty-two billion, one hundred eleven million, eleven thousand, one hundred twenty-one".