10102100137 has 2 divisors, whose sum is σ = 10102100138. Its totient is φ = 10102100136.

The previous prime is 10102100119. The next prime is 10102100143. The reversal of 10102100137 is 73100120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9243668736 + 858431401 = 96144^2 + 29299^2 .

It is an emirp because it is prime and its reverse (73100120101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102100137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102100137.

It is not a weakly prime, because it can be changed into another prime (10102100737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050068 + 5051050069.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050069).

Almost surely, 2^10102100137 is an apocalyptic number.

It is an amenable number.

10102100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102100137 is an equidigital number, since it uses as much as digits as its factorization.

10102100137 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 16.

Adding to 10102100137 its reverse (73100120101), we get a palindrome (83202220238).

The spelling of 10102100137 in words is "ten billion, one hundred two million, one hundred thousand, one hundred thirty-seven".