11100000100109 has 32 divisors (see below), whose sum is σ = 11511932979456. Its totient is φ = 10696776330240.

The previous prime is 11100000100051. The next prime is 11100000100121. The reversal of 11100000100109 is 90100100000111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11100000100109 - 2²⁸ = 11099731664653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11100000100093 and 11100000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100000100139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2075927774 + ... + 2075933120.

It is an arithmetic number, because the mean of its divisors is an integer number (359747905608).

Almost surely, 2^{11100000100109} is an apocalyptic number.

It is an amenable number.

11100000100109 is a deficient number, since it is larger than the sum of its proper divisors (411932879347).

11100000100109 is a wasteful number, since it uses less digits than its factorization.

11100000100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445.

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

The spelling of 11100000100109 in words is "eleven trillion, one hundred billion, one hundred thousand, one hundred nine".