10010100137 has 2 divisors, whose sum is σ = 10010100138. Its totient is φ = 10010100136.

The previous prime is 10010100101. The next prime is 10010100241. The reversal of 10010100137 is 73100101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7516196416 + 2493903721 = 86696^2 + 49939^2 .

It is an emirp because it is prime and its reverse (73100101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010100137 - 2¹⁴ = 10010083753 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010100437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050068 + 5005050069.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050069).

Almost surely, 2^10010100137 is an apocalyptic number.

It is an amenable number.

10010100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100137 is an equidigital number, since it uses as much as digits as its factorization.

10010100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 10010100137 its reverse (73100101001), we get a palindrome (83110201138).

The spelling of 10010100137 in words is "ten billion, ten million, one hundred thousand, one hundred thirty-seven".