2102202000209 has 2 divisors, whose sum is σ = 2102202000210. Its totient is φ = 2102202000208.

The previous prime is 2102202000163. The next prime is 2102202000211. The reversal of 2102202000209 is 9020002022012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1907105760400 + 195096239809 = 1380980^2 + 441697^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102202000209 - 2³⁶ = 2033482523473 is a prime.

Together with 2102202000211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2102202000229) 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, 1051101000104 + 1051101000105.

It is an arithmetic number, because the mean of its divisors is an integer number (1051101000105).

Almost surely, 2^{2102202000209} is an apocalyptic number.

It is an amenable number.

2102202000209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102202000209 is an equidigital number, since it uses as much as digits as its factorization.

2102202000209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 2102202000209 in words is "two trillion, one hundred two billion, two hundred two million, two hundred nine", and thus it is an aban number.