102002209 has 8 divisors (see below), whose sum is σ = 104555520. Its totient is φ = 99476496.

The previous prime is 102002191. The next prime is 102002249. The reversal of 102002209 is 902200201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102002209 - 2¹¹ = 102000161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002192 and 102002201.

It is not an unprimeable number, because it can be changed into a prime (102002249) 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 in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 14299.

It is an arithmetic number, because the mean of its divisors is an integer number (13069440).

Almost surely, 2^102002209 is an apocalyptic number.

It is an amenable number.

102002209 is a deficient number, since it is larger than the sum of its proper divisors (2553311).

102002209 is a wasteful number, since it uses less digits than its factorization.

102002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13799.

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

The square root of 102002209 is about 10099.6142995661. The cubic root of 102002209 is about 467.2362457439.

The spelling of 102002209 in words is "one hundred two million, two thousand, two hundred nine".