122120210129 has 2 divisors, whose sum is σ = 122120210130. Its totient is φ = 122120210128.

The previous prime is 122120210059. The next prime is 122120210137. The reversal of 122120210129 is 921012021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114905406529 + 7214803600 = 338977^2 + 84940^2 .

It is an emirp because it is prime and its reverse (921012021221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122120210129 - 2²⁸ = 121851774673 is a prime.

It is a super-2 number, since 2×122120210129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122120219129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060105064 + 61060105065.

It is an arithmetic number, because the mean of its divisors is an integer number (61060105065).

Almost surely, 2^122120210129 is an apocalyptic number.

It is an amenable number.

122120210129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120210129 is an equidigital number, since it uses as much as digits as its factorization.

122120210129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122120210129 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, one hundred twenty-nine".