110000100100109 has 8 divisors (see below), whose sum is σ = 110487167177088. Its totient is φ = 109513054823040.

The previous prime is 110000100100063. The next prime is 110000100100181. The reversal of 110000100100109 is 901001001000011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110000100100109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110000100100093 and 110000100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000100100309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4705964 + ... + 15561050.

It is an arithmetic number, because the mean of its divisors is an integer number (13810895897136).

Almost surely, 2^{110000100100109} is an apocalyptic number.

It is an amenable number.

110000100100109 is a deficient number, since it is larger than the sum of its proper divisors (487067076979).

110000100100109 is a wasteful number, since it uses less digits than its factorization.

110000100100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10899955.

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

The spelling of 110000100100109 in words is "one hundred ten trillion, one hundred million, one hundred thousand, one hundred nine".