10002000002009 has 2 divisors, whose sum is σ = 10002000002010. Its totient is φ = 10002000002008.

The previous prime is 10002000001999. The next prime is 10002000002087. The reversal of 10002000002009 is 90020000020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9790609710025 + 211390291984 = 3128995^2 + 459772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002000002009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10002000001984 and 10002000002002.

It is not a weakly prime, because it can be changed into another prime (10002000032009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000001004 + 5001000001005.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000001005).

Almost surely, 2^{10002000002009} is an apocalyptic number.

It is an amenable number.

10002000002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002000002009 is an equidigital number, since it uses as much as digits as its factorization.

10002000002009 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 spelling of 10002000002009 in words is "ten trillion, two billion, two thousand, nine".