21102222110209 has 2 divisors, whose sum is σ = 21102222110210. Its totient is φ = 21102222110208.

The previous prime is 21102222110161. The next prime is 21102222110227. The reversal of 21102222110209 is 90201122220112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11831171484609 + 9271050625600 = 3439647^2 + 3044840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21102222110209 is a prime.

It is not a weakly prime, because it can be changed into another prime (21102222180209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10551111055104 + 10551111055105.

It is an arithmetic number, because the mean of its divisors is an integer number (10551111055105).

Almost surely, 2^{21102222110209} is an apocalyptic number.

It is an amenable number.

21102222110209 is a deficient number, since it is larger than the sum of its proper divisors (1).

21102222110209 is an equidigital number, since it uses as much as digits as its factorization.

21102222110209 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 21102222110209 in words is "twenty-one trillion, one hundred two billion, two hundred twenty-two million, one hundred ten thousand, two hundred nine".