122011120129 has 2 divisors, whose sum is σ = 122011120130. Its totient is φ = 122011120128.

The previous prime is 122011120109. The next prime is 122011120211. The reversal of 122011120129 is 921021110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118509439504 + 3501680625 = 344252^2 + 59175^2 .

It is an emirp because it is prime and its reverse (921021110221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122011120129 - 2⁵ = 122011120097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122011120109) 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 as a sum of consecutive naturals, namely, 61005560064 + 61005560065.

It is an arithmetic number, because the mean of its divisors is an integer number (61005560065).

Almost surely, 2^122011120129 is an apocalyptic number.

It is an amenable number.

122011120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011120129 is an equidigital number, since it uses as much as digits as its factorization.

122011120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 122011120129 in words is "one hundred twenty-two billion, eleven million, one hundred twenty thousand, one hundred twenty-nine".