110100100110111 has 6 divisors (see below), whose sum is σ = 159033477936840. Its totient is φ = 73400066740068.

The previous prime is 110100100110101. The next prime is 110100100110131. The reversal of 110100100110111 is 111011001001011.

It is not a de Polignac number, because 110100100110111 - 2⁹ = 110100100109599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12233344456679 = 110100100110111 / (1 + 1 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 110100100110093 and 110100100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100100110101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6116672228331 + ... + 6116672228348.

It is an arithmetic number, because the mean of its divisors is an integer number (26505579656140).

Almost surely, 2^{110100100110111} is an apocalyptic number.

110100100110111 is a deficient number, since it is larger than the sum of its proper divisors (48933377826729).

110100100110111 is a wasteful number, since it uses less digits than its factorization.

110100100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233344456685 (or 12233344456682 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110100100110111 its reverse (111011001001011), we get a palindrome (221111101111122).

The spelling of 110100100110111 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred eleven".