122122113221029 has 2 divisors, whose sum is σ = 122122113221030. Its totient is φ = 122122113221028.

The previous prime is 122122113220969. The next prime is 122122113221033. The reversal of 122122113221029 is 920122311221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98929480468900 + 23192632752129 = 9946330^2 + 4815873^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122113221029 - 2²⁹ = 122121576350117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122113221089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061056610514 + 61061056610515.

It is an arithmetic number, because the mean of its divisors is an integer number (61061056610515).

Almost surely, 2^{122122113221029} is an apocalyptic number.

It is an amenable number.

122122113221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122113221029 is an equidigital number, since it uses as much as digits as its factorization.

122122113221029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 122122113221029 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirteen million, two hundred twenty-one thousand, twenty-nine".