100110000111137 has 2 divisors, whose sum is σ = 100110000111138. Its totient is φ = 100110000111136.

The previous prime is 100110000111101. The next prime is 100110000111151. The reversal of 100110000111137 is 731111000011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52139360536081 + 47970639575056 = 7220759^2 + 6926084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110000111137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110000117137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000055568 + 50055000055569.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000055569).

Almost surely, 2^{100110000111137} is an apocalyptic number.

It is an amenable number.

100110000111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110000111137 is an equidigital number, since it uses as much as digits as its factorization.

100110000111137 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 17.

Adding to 100110000111137 its reverse (731111000011001), we get a palindrome (831221000122138).

The spelling of 100110000111137 in words is "one hundred trillion, one hundred ten billion, one hundred eleven thousand, one hundred thirty-seven".