210211020113 has 2 divisors, whose sum is σ = 210211020114. Its totient is φ = 210211020112.

The previous prime is 210211020079. The next prime is 210211020197. The reversal of 210211020113 is 311020112012.

210211020113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148034101504 + 62176918609 = 384752^2 + 249353^2 .

It is a cyclic number.

It is not a de Polignac number, because 210211020113 - 2⁶ = 210211020049 is a prime.

It is not a weakly prime, because it can be changed into another prime (210211020013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105105510056 + 105105510057.

It is an arithmetic number, because the mean of its divisors is an integer number (105105510057).

Almost surely, 2^210211020113 is an apocalyptic number.

It is an amenable number.

210211020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210211020113 is an equidigital number, since it uses as much as digits as its factorization.

210211020113 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 14.

Adding to 210211020113 its reverse (311020112012), we get a palindrome (521231132125).

The spelling of 210211020113 in words is "two hundred ten billion, two hundred eleven million, twenty thousand, one hundred thirteen".