100001011111009 has 16 divisors (see below), whose sum is σ = 100967109120000. Its totient is φ = 99039703732480.

The previous prime is 100001011110997. The next prime is 100001011111019. The reversal of 100001011111009 is 900111110100001.

It is a cyclic number.

It is not a de Polignac number, because 100001011111009 - 2³⁵ = 99966651372641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001011110983 and 100001011111001.

It is not an unprimeable number, because it can be changed into a prime (100001011111019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211986597 + ... + 212457805.

It is an arithmetic number, because the mean of its divisors is an integer number (6310444320000).

Almost surely, 2^{100001011111009} is an apocalyptic number.

It is an amenable number.

100001011111009 is a deficient number, since it is larger than the sum of its proper divisors (966098008991).

100001011111009 is a wasteful number, since it uses less digits than its factorization.

100001011111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476288.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100001011111009 in words is "one hundred trillion, one billion, eleven million, one hundred eleven thousand, nine".