11122111002137 has 2 divisors, whose sum is σ = 11122111002138. Its totient is φ = 11122111002136.

The previous prime is 11122111002113. The next prime is 11122111002181. The reversal of 11122111002137 is 73120011122111.

11122111002137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10398890022361 + 723220979776 = 3224731^2 + 850424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11122111002137 is a prime.

It is a super-4 number, since 4×11122111002137⁴ (a number of 53 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (11122111002637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561055501068 + 5561055501069.

It is an arithmetic number, because the mean of its divisors is an integer number (5561055501069).

Almost surely, 2^{11122111002137} is an apocalyptic number.

It is an amenable number.

11122111002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122111002137 is an equidigital number, since it uses as much as digits as its factorization.

11122111002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 11122111002137 its reverse (73120011122111), we get a palindrome (84242122124248).

The spelling of 11122111002137 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, two thousand, one hundred thirty-seven".