111010101000137 has 2 divisors, whose sum is σ = 111010101000138. Its totient is φ = 111010101000136.

The previous prime is 111010101000109. The next prime is 111010101000157. The reversal of 111010101000137 is 731000101010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57368187524041 + 53641913476096 = 7574179^2 + 7324064^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010101000137 - 2³⁰ = 111009027258313 is a prime.

It is not a weakly prime, because it can be changed into another prime (111010101000157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505050500068 + 55505050500069.

It is an arithmetic number, because the mean of its divisors is an integer number (55505050500069).

Almost surely, 2^{111010101000137} is an apocalyptic number.

It is an amenable number.

111010101000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010101000137 is an equidigital number, since it uses as much as digits as its factorization.

111010101000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 111010101000137 its reverse (731000101010111), we get a palindrome (842010202010248).

The spelling of 111010101000137 in words is "one hundred eleven trillion, ten billion, one hundred one million, one hundred thirty-seven", and thus it is an aban number.