110110101101100 has 108 divisors (see below), whose sum is σ = 345732148807864. Its totient is φ = 29311804938240.

The previous prime is 110110101101083. The next prime is 110110101101113. The reversal of 110110101101100 is 1101101011011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105498514 + ... + 106537113.

Almost surely, 2^{110110101101100} is an apocalyptic number.

110110101101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110101101100 is an abundant number, since it is smaller than the sum of its proper divisors (235622047706764).

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

110110101101100 is a wasteful number, since it uses less digits than its factorization.

110110101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212036224 (or 212036214 counting only the distinct ones).

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

Adding to 110110101101100 its reverse (1101101011011), we get a palindrome (111211202112111).

110110101101100 divided by its reverse (1101101011011) gives a square (100 = 10²).

The spelling of 110110101101100 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one hundred".