122221067002961 has 2 divisors, whose sum is σ = 122221067002962. Its totient is φ = 122221067002960.

The previous prime is 122221067002901. The next prime is 122221067003023. The reversal of 122221067002961 is 169200760122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104451343380736 + 17769723622225 = 10220144^2 + 4215415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122221067002961 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221067002901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110533501480 + 61110533501481.

It is an arithmetic number, because the mean of its divisors is an integer number (61110533501481).

Almost surely, 2^{122221067002961} is an apocalyptic number.

It is an amenable number.

122221067002961 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221067002961 is an equidigital number, since it uses as much as digits as its factorization.

122221067002961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 122221067002961 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, sixty-seven million, two thousand, nine hundred sixty-one".