110101001000009 has 8 divisors (see below), whose sum is σ = 111075583718400. Its totient is φ = 109126422449856.

The previous prime is 110101000999993. The next prime is 110101001000051. The reversal of 110101001000009 is 900000100101011.

It is a happy number.

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 110101001000009 - 2⁴ = 110101000999993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101000999957 and 110101001000002.

It is not an unprimeable number, because it can be changed into a prime (110101001000069) 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, 79338584 + ... + 80714390.

It is an arithmetic number, because the mean of its divisors is an integer number (13884447964800).

Almost surely, 2^{110101001000009} is an apocalyptic number.

It is an amenable number.

110101001000009 is a deficient number, since it is larger than the sum of its proper divisors (974582718391).

110101001000009 is a wasteful number, since it uses less digits than its factorization.

110101001000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084119.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 110101001000009 in words is "one hundred ten trillion, one hundred one billion, one million, nine", and thus it is an aban number.