100114518137 has 2 divisors, whose sum is σ = 100114518138. Its totient is φ = 100114518136.

The previous prime is 100114518047. The next prime is 100114518181. The reversal of 100114518137 is 731815411001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73096692496 + 27017825641 = 270364^2 + 164371^2 .

It is a cyclic number.

It is not a de Polignac number, because 100114518137 - 2²⁴ = 100097740921 is a prime.

It is not a weakly prime, because it can be changed into another prime (100114518437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50057259068 + 50057259069.

It is an arithmetic number, because the mean of its divisors is an integer number (50057259069).

Almost surely, 2^100114518137 is an apocalyptic number.

It is an amenable number.

100114518137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100114518137 is an equidigital number, since it uses as much as digits as its factorization.

100114518137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 32.

Adding to 100114518137 its reverse (731815411001), we get a palindrome (831929929138).

The spelling of 100114518137 in words is "one hundred billion, one hundred fourteen million, five hundred eighteen thousand, one hundred thirty-seven".