122642160401 has 2 divisors, whose sum is σ = 122642160402. Its totient is φ = 122642160400.

The previous prime is 122642160379. The next prime is 122642160409. The reversal of 122642160401 is 104061246221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80443140625 + 42199019776 = 283625^2 + 205424^2 .

It is a cyclic number.

It is not a de Polignac number, because 122642160401 - 2¹⁸ = 122641898257 is a prime.

It is a super-2 number, since 2×122642160401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122642160409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61321080200 + 61321080201.

It is an arithmetic number, because the mean of its divisors is an integer number (61321080201).

Almost surely, 2^122642160401 is an apocalyptic number.

It is an amenable number.

122642160401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122642160401 is an equidigital number, since it uses as much as digits as its factorization.

122642160401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 122642160401 in words is "one hundred twenty-two billion, six hundred forty-two million, one hundred sixty thousand, four hundred one".