100111011000009 has 8 divisors (see below), whose sum is σ = 133514693344032. Its totient is φ = 66724001328000.

The previous prime is 100111011000001. The next prime is 100111011000043. The reversal of 100111011000009 is 900000110111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100111011000009 - 2³ = 100111011000001 is a prime.

It is a super-4 number, since 4×100111011000009⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111011000001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4168153992 + ... + 4168178009.

It is an arithmetic number, because the mean of its divisors is an integer number (16689336668004).

Almost surely, 2^{100111011000009} is an apocalyptic number.

It is an amenable number.

100111011000009 is a deficient number, since it is larger than the sum of its proper divisors (33403682344023).

100111011000009 is an equidigital number, since it uses as much as digits as its factorization.

100111011000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336336007.

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

The spelling of 100111011000009 in words is "one hundred trillion, one hundred eleven billion, eleven million, nine", and thus it is an aban number.