110000001011009 has 8 divisors (see below), whose sum is σ = 110636399665512. Its totient is φ = 109363608799360.

The previous prime is 110000001011003. The next prime is 110000001011029. The reversal of 110000001011009 is 900110100000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53261022940225 + 56738978070784 = 7298015^2 + 7532528^2 .

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 110000001011009 - 2²⁴ = 109999984233793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110000001010984 and 110000001011002.

It is not an unprimeable number, because it can be changed into a prime (110000001011003) 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 7 ways as a sum of consecutive naturals, for example, 35039687 + ... + 38049699.

It is an arithmetic number, because the mean of its divisors is an integer number (13829549958189).

Almost surely, 2^{110000001011009} is an apocalyptic number.

It is an amenable number.

110000001011009 is a deficient number, since it is larger than the sum of its proper divisors (636398654503).

110000001011009 is a wasteful number, since it uses less digits than its factorization.

110000001011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221427.

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

The spelling of 110000001011009 in words is "one hundred ten trillion, one million, eleven thousand, nine".