122331302081 has 2 divisors, whose sum is σ = 122331302082. Its totient is φ = 122331302080.

The previous prime is 122331302021. The next prime is 122331302083. The reversal of 122331302081 is 180203133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114999661456 + 7331640625 = 339116^2 + 85625^2 .

It is a cyclic number.

It is not a de Polignac number, because 122331302081 - 2⁶ = 122331302017 is a prime.

It is a super-2 number, since 2×122331302081² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 122331302083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122331302081.

It is not a weakly prime, because it can be changed into another prime (122331302083) 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, 61165651040 + 61165651041.

It is an arithmetic number, because the mean of its divisors is an integer number (61165651041).

Almost surely, 2^122331302081 is an apocalyptic number.

It is an amenable number.

122331302081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331302081 is an equidigital number, since it uses as much as digits as its factorization.

122331302081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 122331302081 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred two thousand, eighty-one".