1001000110009 has 8 divisors (see below), whose sum is σ = 1018224605000. Its totient is φ = 983801894400.

The previous prime is 1001000110001. The next prime is 1001000110043. The reversal of 1001000110009 is 9000110001001.

It can be written as a sum of positive squares in 4 ways, for example, as 456036025 + 1000544073984 = 21355^2 + 1000272^2 .

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 1001000110009 - 2³ = 1001000110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001000110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6493002 + ... + 6645379.

It is an arithmetic number, because the mean of its divisors is an integer number (127278075625).

Almost surely, 2^{1001000110009} is an apocalyptic number.

It is an amenable number.

1001000110009 is a deficient number, since it is larger than the sum of its proper divisors (17224494991).

1001000110009 is a wasteful number, since it uses less digits than its factorization.

1001000110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139691.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1001000110009 in words is "one trillion, one billion, one hundred ten thousand, nine".