110001100010009 has 8 divisors (see below), whose sum is σ = 118544365232832. Its totient is φ = 101469497950800.

The previous prime is 110001100009919. The next prime is 110001100010017. The reversal of 110001100010009 is 900010001100011.

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 110001100010009 - 2²⁴ = 110001083232793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001100009975 and 110001100010002.

It is not an unprimeable number, because it can be changed into a prime (110001100010069) 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, 2915771309 + ... + 2915809034.

It is an arithmetic number, because the mean of its divisors is an integer number (14818045654104).

Almost surely, 2^{110001100010009} is an apocalyptic number.

It is an amenable number.

110001100010009 is a deficient number, since it is larger than the sum of its proper divisors (8543265222823).

110001100010009 is a wasteful number, since it uses less digits than its factorization.

110001100010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831581807.

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

The spelling of 110001100010009 in words is "one hundred ten trillion, one billion, one hundred million, ten thousand, nine".