201210022002113 has 2 divisors, whose sum is σ = 201210022002114. Its totient is φ = 201210022002112.

The previous prime is 201210022002109. The next prime is 201210022002149. The reversal of 201210022002113 is 311200220012102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180858843934129 + 20351178067984 = 13448377^2 + 4511228^2 .

It is a cyclic number.

It is not a de Polignac number, because 201210022002113 - 2² = 201210022002109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201210022002091 and 201210022002100.

It is not a weakly prime, because it can be changed into another prime (201210022002173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100605011001056 + 100605011001057.

It is an arithmetic number, because the mean of its divisors is an integer number (100605011001057).

Almost surely, 2^{201210022002113} is an apocalyptic number.

It is an amenable number.

201210022002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201210022002113 is an equidigital number, since it uses as much as digits as its factorization.

201210022002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201210022002113 its reverse (311200220012102), we get a palindrome (512410242014215).

The spelling of 201210022002113 in words is "two hundred one trillion, two hundred ten billion, twenty-two million, two thousand, one hundred thirteen".