122200111129 has 2 divisors, whose sum is σ = 122200111130. Its totient is φ = 122200111128.

The previous prime is 122200111097. The next prime is 122200111157. The reversal of 122200111129 is 921111002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88415833104 + 33784278025 = 297348^2 + 183805^2 .

It is an emirp because it is prime and its reverse (921111002221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122200111129 - 2⁵ = 122200111097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122240111129) 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 as a sum of consecutive naturals, namely, 61100055564 + 61100055565.

It is an arithmetic number, because the mean of its divisors is an integer number (61100055565).

Almost surely, 2^122200111129 is an apocalyptic number.

It is an amenable number.

122200111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200111129 is an equidigital number, since it uses as much as digits as its factorization.

122200111129 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 122200111129 in words is "one hundred twenty-two billion, two hundred million, one hundred eleven thousand, one hundred twenty-nine".