100111121137 has 2 divisors, whose sum is σ = 100111121138. Its totient is φ = 100111121136.

The previous prime is 100111121083. The next prime is 100111121147. The reversal of 100111121137 is 731121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67966575616 + 32144545521 = 260704^2 + 179289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111121137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111121147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560568 + 50055560569.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560569).

Almost surely, 2^100111121137 is an apocalyptic number.

It is an amenable number.

100111121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121137 is an equidigital number, since it uses as much as digits as its factorization.

100111121137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 100111121137 its reverse (731121111001), we get a palindrome (831232232138).

The spelling of 100111121137 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, one hundred thirty-seven".