122200313023181 has 2 divisors, whose sum is σ = 122200313023182. Its totient is φ = 122200313023180.

The previous prime is 122200313023177. The next prime is 122200313023277. The reversal of 122200313023181 is 181320313002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119020899508900 + 3179413514281 = 10909670^2 + 1783091^2 .

It is an emirp because it is prime and its reverse (181320313002221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122200313023181 - 2² = 122200313023177 is a prime.

It is a super-2 number, since 2×122200313023181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122200313023141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100156511590 + 61100156511591.

It is an arithmetic number, because the mean of its divisors is an integer number (61100156511591).

Almost surely, 2^{122200313023181} is an apocalyptic number.

It is an amenable number.

122200313023181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200313023181 is an equidigital number, since it uses as much as digits as its factorization.

122200313023181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 122200313023181 in words is "one hundred twenty-two trillion, two hundred billion, three hundred thirteen million, twenty-three thousand, one hundred eighty-one".