102000209 has 2 divisors, whose sum is σ = 102000210. Its totient is φ = 102000208.

The previous prime is 102000191. The next prime is 102000247. The reversal of 102000209 is 902000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101445184 + 555025 = 10072^2 + 745^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000209 - 2²⁰ = 100951633 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000193 and 102000202.

It is not a weakly prime, because it can be changed into another prime (102000259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000104 + 51000105.

It is an arithmetic number, because the mean of its divisors is an integer number (51000105).

Almost surely, 2^102000209 is an apocalyptic number.

It is an amenable number.

102000209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000209 is an equidigital number, since it uses as much as digits as its factorization.

102000209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102000209 is about 10099.5152853986. The cubic root of 102000209 is about 467.2331919584.

The spelling of 102000209 in words is "one hundred two million, two hundred nine", and thus it is an aban number.