110001100110110 has 384 divisors, whose sum is σ = 226968502989312. Its totient is φ = 38337372057600.

The previous prime is 110001100110089. The next prime is 110001100110131. The reversal of 110001100110110 is 11011001100011.

It is an interprime number because it is at equal distance from previous prime (110001100110089) and next prime (110001100110131).

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 191 ways as a sum of consecutive naturals, for example, 171074805449 + ... + 171074806091.

It is an arithmetic number, because the mean of its divisors is an integer number (591063809868).

Almost surely, 2^{110001100110110} is an apocalyptic number.

110001100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110001100110110 is an abundant number, since it is smaller than the sum of its proper divisors (116967402879202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110001100110110 is a wasteful number, since it uses less digits than its factorization.

110001100110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110001100110110 its reverse (11011001100011), we get a palindrome (121012101210121).

The spelling of 110001100110110 in words is "one hundred ten trillion, one billion, one hundred million, one hundred ten thousand, one hundred ten".