101110011000109 has 16 divisors (see below), whose sum is σ = 102330280800000. Its totient is φ = 99896717589760.

The previous prime is 101110011000071. The next prime is 101110011000121. The reversal of 101110011000109 is 901000110011101.

It is a cyclic number.

It is not a de Polignac number, because 101110011000109 - 2³⁷ = 100972572046637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110011000092 and 101110011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110011000149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145208217 + ... + 145902865.

It is an arithmetic number, because the mean of its divisors is an integer number (6395642550000).

Almost surely, 2^{101110011000109} is an apocalyptic number.

It is an amenable number.

101110011000109 is a deficient number, since it is larger than the sum of its proper divisors (1220269799891).

101110011000109 is a wasteful number, since it uses less digits than its factorization.

101110011000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699668.

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

The spelling of 101110011000109 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred nine", and thus it is an aban number.