122311145200093 has 2 divisors, whose sum is σ = 122311145200094. Its totient is φ = 122311145200092.

The previous prime is 122311145200061. The next prime is 122311145200201. The reversal of 122311145200093 is 390002541113221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100316189545209 + 21994955654884 = 10015797^2 + 4689878^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311145200093 - 2⁵ = 122311145200061 is a prime.

It is a super-3 number, since 3×122311145200093³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122311145207093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155572600046 + 61155572600047.

It is an arithmetic number, because the mean of its divisors is an integer number (61155572600047).

Almost surely, 2^{122311145200093} is an apocalyptic number.

It is an amenable number.

122311145200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311145200093 is an equidigital number, since it uses as much as digits as its factorization.

122311145200093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 122311145200093 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-five million, two hundred thousand, ninety-three".