10100010011137 has 2 divisors, whose sum is σ = 10100010011138. Its totient is φ = 10100010011136.

The previous prime is 10100010011057. The next prime is 10100010011183. The reversal of 10100010011137 is 73111001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10084664004496 + 15346006641 = 3175636^2 + 123879^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010011137 - 2⁴³ = 1303916988929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010011137.

It is not a weakly prime, because it can be changed into another prime (10100010011237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005005568 + 5050005005569.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005005569).

Almost surely, 2^{10100010011137} is an apocalyptic number.

It is an amenable number.

10100010011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010011137 is an equidigital number, since it uses as much as digits as its factorization.

10100010011137 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 10100010011137 its reverse (73111001000101), we get a palindrome (83211011011238).

The spelling of 10100010011137 in words is "ten trillion, one hundred billion, ten million, eleven thousand, one hundred thirty-seven".