22111012013257 has 2 divisors, whose sum is σ = 22111012013258. Its totient is φ = 22111012013256.

The previous prime is 22111012013221. The next prime is 22111012013273. The reversal of 22111012013257 is 75231021011122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18087762326841 + 4023249686416 = 4252971^2 + 2005804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22111012013257 is a prime.

It is not a weakly prime, because it can be changed into another prime (22111012010257) 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, 11055506006628 + 11055506006629.

It is an arithmetic number, because the mean of its divisors is an integer number (11055506006629).

Almost surely, 2^{22111012013257} is an apocalyptic number.

It is an amenable number.

22111012013257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111012013257 is an equidigital number, since it uses as much as digits as its factorization.

22111012013257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 22111012013257 its reverse (75231021011122), we get a palindrome (97342033024379).

The spelling of 22111012013257 in words is "twenty-two trillion, one hundred eleven billion, twelve million, thirteen thousand, two hundred fifty-seven".