122011112129 has 2 divisors, whose sum is σ = 122011112130. Its totient is φ = 122011112128.

The previous prime is 122011112107. The next prime is 122011112143. The reversal of 122011112129 is 921211110221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121790530225 + 220581904 = 348985^2 + 14852^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011112129 - 2¹⁶ = 122011046593 is a prime.

It is a super-2 number, since 2×122011112129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122011115129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005556064 + 61005556065.

It is an arithmetic number, because the mean of its divisors is an integer number (61005556065).

Almost surely, 2^122011112129 is an apocalyptic number.

It is an amenable number.

122011112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011112129 is an equidigital number, since it uses as much as digits as its factorization.

122011112129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 122011112129 in words is "one hundred twenty-two billion, eleven million, one hundred twelve thousand, one hundred twenty-nine".