102001100137 has 2 divisors, whose sum is σ = 102001100138. Its totient is φ = 102001100136.

The previous prime is 102001100029. The next prime is 102001100141. The reversal of 102001100137 is 731001100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99818715481 + 2182384656 = 315941^2 + 46716^2 .

It is an emirp because it is prime and its reverse (731001100201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102001100137 - 2³⁵ = 67641361769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102001100137.

It is not a weakly prime, because it can be changed into another prime (102001100147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000550068 + 51000550069.

It is an arithmetic number, because the mean of its divisors is an integer number (51000550069).

Almost surely, 2^102001100137 is an apocalyptic number.

It is an amenable number.

102001100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001100137 is an equidigital number, since it uses as much as digits as its factorization.

102001100137 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 102001100137 its reverse (731001100201), we get a palindrome (833002200338).

The spelling of 102001100137 in words is "one hundred two billion, one million, one hundred thousand, one hundred thirty-seven".