210002002001089 has 2 divisors, whose sum is σ = 210002002001090. Its totient is φ = 210002002001088.

The previous prime is 210002002001039. The next prime is 210002002001117. The reversal of 210002002001089 is 980100200200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209398843184400 + 603158816689 = 14470620^2 + 776633^2 .

It is a cyclic number.

It is not a de Polignac number, because 210002002001089 - 2⁹ = 210002002000577 is a prime.

It is not a weakly prime, because it can be changed into another prime (210002002001039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001001000544 + 105001001000545.

It is an arithmetic number, because the mean of its divisors is an integer number (105001001000545).

Almost surely, 2^{210002002001089} is an apocalyptic number.

It is an amenable number.

210002002001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002002001089 is an equidigital number, since it uses as much as digits as its factorization.

210002002001089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 210002002001089 in words is "two hundred ten trillion, two billion, two million, one thousand, eighty-nine".