110101112137 has 2 divisors, whose sum is σ = 110101112138. Its totient is φ = 110101112136.

The previous prime is 110101112089. The next prime is 110101112159. The reversal of 110101112137 is 731211101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100516897936 + 9584214201 = 317044^2 + 97899^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101112137 - 2³⁵ = 75741373769 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101112167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050556068 + 55050556069.

It is an arithmetic number, because the mean of its divisors is an integer number (55050556069).

Almost surely, 2^110101112137 is an apocalyptic number.

It is an amenable number.

110101112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101112137 is an equidigital number, since it uses as much as digits as its factorization.

110101112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 110101112137 its reverse (731211101011), we get a palindrome (841312213148).

The spelling of 110101112137 in words is "one hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred thirty-seven".