100111110137 has 2 divisors, whose sum is σ = 100111110138. Its totient is φ = 100111110136.

The previous prime is 100111110107. The next prime is 100111110157. The reversal of 100111110137 is 731011111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95685667561 + 4425442576 = 309331^2 + 66524^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111110137 - 2¹⁶ = 100111044601 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555068 + 50055555069.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555069).

Almost surely, 2^100111110137 is an apocalyptic number.

It is an amenable number.

100111110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110137 is an equidigital number, since it uses as much as digits as its factorization.

100111110137 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 100111110137 its reverse (731011111001), we get a palindrome (831122221138).

The spelling of 100111110137 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, one hundred thirty-seven".