100100011109 has 16 divisors (see below), whose sum is σ = 118429171200. Its totient is φ = 82782357504.

The previous prime is 100100011073. The next prime is 100100011153. The reversal of 100100011109 is 901110001001.

It is a happy number.

It is not a de Polignac number, because 100100011109 - 2¹² = 100100007013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100011093 and 100100011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100011169) 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, 111044 + ... + 461010.

It is an arithmetic number, because the mean of its divisors is an integer number (7401823200).

Almost surely, 2^100100011109 is an apocalyptic number.

It is an amenable number.

100100011109 is a deficient number, since it is larger than the sum of its proper divisors (18329160091).

100100011109 is a wasteful number, since it uses less digits than its factorization.

100100011109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351412.

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

The spelling of 100100011109 in words is "one hundred billion, one hundred million, eleven thousand, one hundred nine".