110010110100111 has 48 divisors (see below), whose sum is σ = 171288268849152. Its totient is φ = 67634696001600.

The previous prime is 110010110100101. The next prime is 110010110100119. The reversal of 110010110100111 is 111001011010011.

It is not a de Polignac number, because 110010110100111 - 2⁷ = 110010110099983 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 = 110010110100093 and 110010110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010110100119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548899026 + ... + 549099408.

It is an arithmetic number, because the mean of its divisors is an integer number (3568505601024).

Almost surely, 2^{110010110100111} is an apocalyptic number.

110010110100111 is a deficient number, since it is larger than the sum of its proper divisors (61278158749041).

110010110100111 is a wasteful number, since it uses less digits than its factorization.

110010110100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204804 (or 204801 counting only the distinct ones).

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

Adding to 110010110100111 its reverse (111001011010011), we get a palindrome (221011121110122).

The spelling of 110010110100111 in words is "one hundred ten trillion, ten billion, one hundred ten million, one hundred thousand, one hundred eleven".