100111111000009 has 8 divisors (see below), whose sum is σ = 100900388994048. Its totient is φ = 99321848655120.

The previous prime is 100111111000007. The next prime is 100111111000057. The reversal of 100111111000009 is 900000111111001.

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

It is a cyclic number.

It is not a de Polignac number, because 100111111000009 - 2¹ = 100111111000007 is a prime.

It is a super-2 number, since 2×100111111000009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111110999956 and 100111111000001.

It is not an unprimeable number, because it can be changed into a prime (100111111000007) 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, 9102594 + ... + 16824964.

It is an arithmetic number, because the mean of its divisors is an integer number (12612548624256).

Almost surely, 2^{100111111000009} is an apocalyptic number.

It is an amenable number.

100111111000009 is a deficient number, since it is larger than the sum of its proper divisors (789277994039).

100111111000009 is a wasteful number, since it uses less digits than its factorization.

100111111000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824575.

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

The spelling of 100111111000009 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, nine", and thus it is an aban number.