122211112121 has 12 divisors (see below), whose sum is σ = 142612431588. Its totient is φ = 104421919392.

The previous prime is 122211112103. The next prime is 122211112123. The reversal of 122211112121 is 121211112221.

It can be written as a sum of positive squares in 2 ways, for example, as 14094438400 + 108116673721 = 118720^2 + 328811^2 .

It is not a de Polignac number, because 122211112121 - 2²⁶ = 122144003257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122211112121.

It is not an unprimeable number, because it can be changed into a prime (122211112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3918386 + ... + 3949451.

It is an arithmetic number, because the mean of its divisors is an integer number (11884369299).

Almost surely, 2^122211112121 is an apocalyptic number.

It is an amenable number.

122211112121 is a deficient number, since it is larger than the sum of its proper divisors (20401319467).

122211112121 is an equidigital number, since it uses as much as digits as its factorization.

122211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868168 (or 7868161 counting only the distinct ones).

The product of its digits is 32, while the sum is 17.

Adding to 122211112121 its reverse (121211112221), we get a palindrome (243422224342).

The spelling of 122211112121 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".