2010001000009 has 2 divisors, whose sum is σ = 2010001000010. Its totient is φ = 2010001000008.

The previous prime is 2010000999989. The next prime is 2010001000027. The reversal of 2010001000009 is 9000001000102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1654832678409 + 355168321600 = 1286403^2 + 595960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010001000009 - 2³⁹ = 1460245186121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010001000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005000500004 + 1005000500005.

It is an arithmetic number, because the mean of its divisors is an integer number (1005000500005).

Almost surely, 2^{2010001000009} is an apocalyptic number.

It is an amenable number.

2010001000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010001000009 is an equidigital number, since it uses as much as digits as its factorization.

2010001000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The spelling of 2010001000009 in words is "two trillion, ten billion, one million, nine", and thus it is an aban number and an uban number.