122321030081 has 2 divisors, whose sum is σ = 122321030082. Its totient is φ = 122321030080.

The previous prime is 122321030033. The next prime is 122321030093. The reversal of 122321030081 is 180030123221.

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., 115725153856 + 6595876225 = 340184^2 + 81215^2 .

It is a cyclic number.

It is not a de Polignac number, because 122321030081 - 2⁶ = 122321030017 is a prime.

It is a super-2 number, since 2×122321030081² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122321030281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61160515040 + 61160515041.

It is an arithmetic number, because the mean of its divisors is an integer number (61160515041).

Almost surely, 2^122321030081 is an apocalyptic number.

It is an amenable number.

122321030081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122321030081 is an equidigital number, since it uses as much as digits as its factorization.

122321030081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 122321030081 in words is "one hundred twenty-two billion, three hundred twenty-one million, thirty thousand, eighty-one".