210010202100113 has 2 divisors, whose sum is σ = 210010202100114. Its totient is φ = 210010202100112.

The previous prime is 210010202100067. The next prime is 210010202100199. The reversal of 210010202100113 is 311001202010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136880476365649 + 73129725734464 = 11699593^2 + 8551592^2 .

It is a cyclic number.

It is not a de Polignac number, because 210010202100113 - 2²⁰ = 210010201051537 is a prime.

It is a super-2 number, since 2×210010202100113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210010202160113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105005101050056 + 105005101050057.

It is an arithmetic number, because the mean of its divisors is an integer number (105005101050057).

Almost surely, 2^{210010202100113} is an apocalyptic number.

It is an amenable number.

210010202100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210010202100113 is an equidigital number, since it uses as much as digits as its factorization.

210010202100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 210010202100113 its reverse (311001202010012), we get a palindrome (521011404110125).

The spelling of 210010202100113 in words is "two hundred ten trillion, ten billion, two hundred two million, one hundred thousand, one hundred thirteen".