122122300120993 has 2 divisors, whose sum is σ = 122122300120994. Its totient is φ = 122122300120992.

The previous prime is 122122300120967. The next prime is 122122300121009. The reversal of 122122300120993 is 399021003221221.

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., 122047521390144 + 74778730849 = 11047512^2 + 273457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122122300120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122300120943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061150060496 + 61061150060497.

It is an arithmetic number, because the mean of its divisors is an integer number (61061150060497).

Almost surely, 2^{122122300120993} is an apocalyptic number.

It is an amenable number.

122122300120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122300120993 is an equidigital number, since it uses as much as digits as its factorization.

122122300120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 122122300120993 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred million, one hundred twenty thousand, nine hundred ninety-three".