122200122009961 has 2 divisors, whose sum is σ = 122200122009962. Its totient is φ = 122200122009960.

The previous prime is 122200122009887. The next prime is 122200122010033. The reversal of 122200122009961 is 169900221002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114580004682025 + 7620117327936 = 10704205^2 + 2760456^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200122009961 - 2²³ = 122200113621353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122200122009961.

It is not a weakly prime, because it can be changed into another prime (122200122009061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100061004980 + 61100061004981.

It is an arithmetic number, because the mean of its divisors is an integer number (61100061004981).

Almost surely, 2^{122200122009961} is an apocalyptic number.

It is an amenable number.

122200122009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200122009961 is an equidigital number, since it uses as much as digits as its factorization.

122200122009961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 122200122009961 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twenty-two million, nine thousand, nine hundred sixty-one".