110000001001009 has 16 divisors (see below), whose sum is σ = 136204808750208. Its totient is φ = 86675787378432.

The previous prime is 110000001000991. The next prime is 110000001001019. The reversal of 110000001001009 is 900100100000011.

It is not a de Polignac number, because 110000001001009 - 2²³ = 109999992612401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110000001001009.

It is not an unprimeable number, because it can be changed into a prime (110000001001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10748480422 + ... + 10748490655.

It is an arithmetic number, because the mean of its divisors is an integer number (8512800546888).

Almost surely, 2^{110000001001009} is an apocalyptic number.

It is an amenable number.

110000001001009 is a deficient number, since it is larger than the sum of its proper divisors (26204807749199).

110000001001009 is a wasteful number, since it uses less digits than its factorization.

110000001001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21496971144.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 110000001001009 in words is "one hundred ten trillion, one million, one thousand, nine".