100201102121137 has 2 divisors, whose sum is σ = 100201102121138. Its totient is φ = 100201102121136.

The previous prime is 100201102121089. The next prime is 100201102121209. The reversal of 100201102121137 is 731121201102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50847681131536 + 49353420989601 = 7130756^2 + 7025199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201102121137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201102121737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100551060568 + 50100551060569.

It is an arithmetic number, because the mean of its divisors is an integer number (50100551060569).

Almost surely, 2^{100201102121137} is an apocalyptic number.

It is an amenable number.

100201102121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201102121137 is an equidigital number, since it uses as much as digits as its factorization.

100201102121137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 100201102121137 its reverse (731121201102001), we get a palindrome (831322303223138).

The spelling of 100201102121137 in words is "one hundred trillion, two hundred one billion, one hundred two million, one hundred twenty-one thousand, one hundred thirty-seven".