10100001137 has 2 divisors, whose sum is σ = 10100001138. Its totient is φ = 10100001136.

The previous prime is 10100001103. The next prime is 10100001143. The reversal of 10100001137 is 73110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6339981376 + 3760019761 = 79624^2 + 61319^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001137 - 2²⁴ = 10083223921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100001157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000568 + 5050000569.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000569).

Almost surely, 2^10100001137 is an apocalyptic number.

It is an amenable number.

10100001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001137 is an equidigital number, since it uses as much as digits as its factorization.

10100001137 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 14.

Adding to 10100001137 its reverse (73110000101), we get a palindrome (83210001238).

The spelling of 10100001137 in words is "ten billion, one hundred million, one thousand, one hundred thirty-seven".