210010121012113 has 2 divisors, whose sum is σ = 210010121012114. Its totient is φ = 210010121012112.

The previous prime is 210010121012047. The next prime is 210010121012189. The reversal of 210010121012113 is 311210121010012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134435491215424 + 75574629796689 = 11594632^2 + 8693367^2 .

It is a cyclic number.

It is not a de Polignac number, because 210010121012113 - 2⁹ = 210010121011601 is a prime.

It is not a weakly prime, because it can be changed into another prime (210010121012413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105005060506056 + 105005060506057.

It is an arithmetic number, because the mean of its divisors is an integer number (105005060506057).

Almost surely, 2^{210010121012113} is an apocalyptic number.

It is an amenable number.

210010121012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210010121012113 is an equidigital number, since it uses as much as digits as its factorization.

210010121012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 210010121012113 its reverse (311210121010012), we get a palindrome (521220242022125).

The spelling of 210010121012113 in words is "two hundred ten trillion, ten billion, one hundred twenty-one million, twelve thousand, one hundred thirteen".