1001009100009 has 16 divisors (see below), whose sum is σ = 1392867045504. Its totient is φ = 638251891200.

The previous prime is 1001009099983. The next prime is 1001009100023. The reversal of 1001009100009 is 9000019001001.

It is not a de Polignac number, because 1001009100009 - 2¹⁵ = 1001009067241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001002100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213672 + ... + 1430969.

It is an arithmetic number, because the mean of its divisors is an integer number (87054190344).

Almost surely, 2^{1001009100009} is an apocalyptic number.

It is an amenable number.

1001009100009 is a deficient number, since it is larger than the sum of its proper divisors (391857945495).

1001009100009 is a wasteful number, since it uses less digits than its factorization.

1001009100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653488.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 1001009100009 in words is "one trillion, one billion, nine million, one hundred thousand, nine".