122122011121 has 16 divisors (see below), whose sum is σ = 141078008448. Its totient is φ = 104476614400.

The previous prime is 122122011113. The next prime is 122122011131. The reversal of 122122011121 is 121110221221.

It is not a de Polignac number, because 122122011121 - 2³ = 122122011113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122011095 and 122122011104.

It is not an unprimeable number, because it can be changed into a prime (122122011101) 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 15 ways as a sum of consecutive naturals, for example, 1688916 + ... + 1759738.

It is an arithmetic number, because the mean of its divisors is an integer number (8817375528).

Almost surely, 2^122122011121 is an apocalyptic number.

122122011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122011121 is a deficient number, since it is larger than the sum of its proper divisors (18955997327).

122122011121 is a wasteful number, since it uses less digits than its factorization.

122122011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80072.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122122011121 its reverse (121110221221), we get a palindrome (243232232342).

The spelling of 122122011121 in words is "one hundred twenty-two billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".