100001111137 has 2 divisors, whose sum is σ = 100001111138. Its totient is φ = 100001111136.

The previous prime is 100001111129. The next prime is 100001111141. The reversal of 100001111137 is 731111100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91246889041 + 8754222096 = 302071^2 + 93564^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001111137 - 2³ = 100001111129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001111137.

It is not a weakly prime, because it can be changed into another prime (100001111437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000555568 + 50000555569.

It is an arithmetic number, because the mean of its divisors is an integer number (50000555569).

Almost surely, 2^100001111137 is an apocalyptic number.

It is an amenable number.

100001111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001111137 is an equidigital number, since it uses as much as digits as its factorization.

100001111137 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 100001111137 its reverse (731111100001), we get a palindrome (831112211138).

The spelling of 100001111137 in words is "one hundred billion, one million, one hundred eleven thousand, one hundred thirty-seven".