1100001001009 has 16 divisors (see below), whose sum is σ = 1119475209600. Its totient is φ = 1080734183424.

The previous prime is 1100001000953. The next prime is 1100001001061. The reversal of 1100001001009 is 9001001000011.

It is a cyclic number.

It is not a de Polignac number, because 1100001001009 - 2³¹ = 1097853517361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100001001009.

It is not an unprimeable number, because it can be changed into a prime (1100001001909) 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 15 ways as a sum of consecutive naturals, for example, 6209932 + ... + 6384610.

It is an arithmetic number, because the mean of its divisors is an integer number (69967200600).

Almost surely, 2^{1100001001009} is an apocalyptic number.

It is an amenable number.

1100001001009 is a deficient number, since it is larger than the sum of its proper divisors (19474208591).

1100001001009 is a wasteful number, since it uses less digits than its factorization.

1100001001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175272.

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

The spelling of 1100001001009 in words is "one trillion, one hundred billion, one million, one thousand, nine".