202010100012137 has 2 divisors, whose sum is σ = 202010100012138. Its totient is φ = 202010100012136.

The previous prime is 202010100012079. The next prime is 202010100012257. The reversal of 202010100012137 is 731210001010202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126185433766441 + 75824666245696 = 11233229^2 + 8707736^2 .

It is a cyclic number.

It is not a de Polignac number, because 202010100012137 - 2²⁸ = 202009831576681 is a prime.

It is not a weakly prime, because it can be changed into another prime (202010100012737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101005050006068 + 101005050006069.

It is an arithmetic number, because the mean of its divisors is an integer number (101005050006069).

Almost surely, 2^{202010100012137} is an apocalyptic number.

It is an amenable number.

202010100012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

202010100012137 is an equidigital number, since it uses as much as digits as its factorization.

202010100012137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 202010100012137 its reverse (731210001010202), we get a palindrome (933220101022339).

The spelling of 202010100012137 in words is "two hundred two trillion, ten billion, one hundred million, twelve thousand, one hundred thirty-seven".