122113110319957 has 2 divisors, whose sum is σ = 122113110319958. Its totient is φ = 122113110319956.

The previous prime is 122113110319943. The next prime is 122113110319961. The reversal of 122113110319957 is 759913011311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86587230911076 + 35525879408881 = 9305226^2 + 5960359^2 .

It is a cyclic number.

It is not a de Polignac number, because 122113110319957 - 2³¹ = 122110962836309 is a prime.

It is a super-2 number, since 2×122113110319957² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122113110310957) 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, 61056555159978 + 61056555159979.

It is an arithmetic number, because the mean of its divisors is an integer number (61056555159979).

Almost surely, 2^{122113110319957} is an apocalyptic number.

It is an amenable number.

122113110319957 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113110319957 is an equidigital number, since it uses as much as digits as its factorization.

122113110319957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 46.

The spelling of 122113110319957 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred ten million, three hundred nineteen thousand, nine hundred fifty-seven".