110100100001110 has 64 divisors (see below), whose sum is σ = 204221101017024. Its totient is φ = 42710587545600.

The previous prime is 110100100001071. The next prime is 110100100001161. The reversal of 110100100001110 is 11100001001011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110100100001093 and 110100100001102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177274537 + ... + 177894523.

It is an arithmetic number, because the mean of its divisors is an integer number (3190954703391).

Almost surely, 2^{110100100001110} is an apocalyptic number.

110100100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110100100001110 is a deficient number, since it is larger than the sum of its proper divisors (94121001015914).

110100100001110 is a wasteful number, since it uses less digits than its factorization.

110100100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622609.

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

Adding to 110100100001110 its reverse (11100001001011), we get a palindrome (121200101002121).

Subtracting from 110100100001110 its reverse (11100001001011), we obtain a palindrome (99000099000099).

The spelling of 110100100001110 in words is "one hundred ten trillion, one hundred billion, one hundred million, one thousand, one hundred ten".