2102000209 has 2 divisors, whose sum is σ = 2102000210. Its totient is φ = 2102000208.

The previous prime is 2102000171. The next prime is 2102000221. The reversal of 2102000209 is 9020002012.

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., 2099014225 + 2985984 = 45815^2 + 1728^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102000209 - 2¹¹ = 2101998161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102000192 and 2102000201.

It is not a weakly prime, because it can be changed into another prime (2102000269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051000104 + 1051000105.

It is an arithmetic number, because the mean of its divisors is an integer number (1051000105).

Almost surely, 2^2102000209 is an apocalyptic number.

It is an amenable number.

2102000209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102000209 is an equidigital number, since it uses as much as digits as its factorization.

2102000209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2102000209 is about 45847.5758246824. The cubic root of 2102000209 is about 1280.9856115216.

The spelling of 2102000209 in words is "two billion, one hundred two million, two hundred nine", and thus it is an aban number.