1001100111009 has 32 divisors (see below), whose sum is σ = 1430858615040. Its totient is φ = 620964317952.

The previous prime is 1001100110993. The next prime is 1001100111029. The reversal of 1001100111009 is 9001110011001.

1001100111009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001100111009 - 2⁴ = 1001100110993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001100111029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9950047 + ... + 10050155.

It is an arithmetic number, because the mean of its divisors is an integer number (44714331720).

Almost surely, 2^{1001100111009} is an apocalyptic number.

It is an amenable number.

1001100111009 is a deficient number, since it is larger than the sum of its proper divisors (429758504031).

1001100111009 is a wasteful number, since it uses less digits than its factorization.

1001100111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104089.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 1001100111009 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, nine".