100110011137 has 2 divisors, whose sum is σ = 100110011138. Its totient is φ = 100110011136.

The previous prime is 100110011051. The next prime is 100110011159. The reversal of 100110011137 is 731110011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50915214736 + 49194796401 = 225644^2 + 221799^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110011137 - 2³⁵ = 65750272769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110011137.

It is not a weakly prime, because it can be changed into another prime (100110011437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005568 + 50055005569.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005569).

Almost surely, 2^100110011137 is an apocalyptic number.

It is an amenable number.

100110011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011137 is an equidigital number, since it uses as much as digits as its factorization.

100110011137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 100110011137 its reverse (731110011001), we get a palindrome (831220022138).

The spelling of 100110011137 in words is "one hundred billion, one hundred ten million, eleven thousand, one hundred thirty-seven".