110010001110111 has 24 divisors (see below), whose sum is σ = 159511869244416. Its totient is φ = 73059291642960.

The previous prime is 110010001110013. The next prime is 110010001110127. The reversal of 110010001110111 is 111011100010011.

It is not a de Polignac number, because 110010001110111 - 2²⁵ = 110009967555679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110010001110093 and 110010001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010001110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2268256 + ... + 15005498.

It is an arithmetic number, because the mean of its divisors is an integer number (6646327885184).

Almost surely, 2^{110010001110111} is an apocalyptic number.

110010001110111 is a deficient number, since it is larger than the sum of its proper divisors (49501868134305).

110010001110111 is a wasteful number, since it uses less digits than its factorization.

110010001110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740923 (or 12740920 counting only the distinct ones).

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

Adding to 110010001110111 its reverse (111011100010011), we get a palindrome (221021101120122).

The spelling of 110010001110111 in words is "one hundred ten trillion, ten billion, one million, one hundred ten thousand, one hundred eleven".