110000100100111 has 8 divisors (see below), whose sum is σ = 118461727744304. Its totient is φ = 101538484096320.

The previous prime is 110000100100063. The next prime is 110000100100181. The reversal of 110000100100111 is 111001001000011.

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 not a de Polignac number, because 110000100100111 - 2⁷ = 110000100099983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110000100100094 and 110000100100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000100100181) 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 7 ways as a sum of consecutive naturals, for example, 35238571 + ... + 38232931.

It is an arithmetic number, because the mean of its divisors is an integer number (14807715968038).

Almost surely, 2^{110000100100111} is an apocalyptic number.

110000100100111 is a deficient number, since it is larger than the sum of its proper divisors (8461627644193).

110000100100111 is a wasteful number, since it uses less digits than its factorization.

110000100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820201.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110000100100111 its reverse (111001001000011), we get a palindrome (221001101100122).

The spelling of 110000100100111 in words is "one hundred ten trillion, one hundred million, one hundred thousand, one hundred eleven".