110110665101100 has 144 divisors (see below), whose sum is σ = 320219435644416. Its totient is φ = 29212390368000.

The previous prime is 110110665101081. The next prime is 110110665101131. The reversal of 110110665101100 is 1101566011011.

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 47 ways as a sum of consecutive naturals, for example, 1945011795 + ... + 1945068405.

It is an arithmetic number, because the mean of its divisors is an integer number (2223746080864).

Almost surely, 2^{110110665101100} is an apocalyptic number.

110110665101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110665101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160109717822208).

110110665101100 is an abundant number, since it is smaller than the sum of its proper divisors (210108770543316).

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

110110665101100 is a wasteful number, since it uses less digits than its factorization.

110110665101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89736 (or 89729 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 24.

The spelling of 110110665101100 in words is "one hundred ten trillion, one hundred ten billion, six hundred sixty-five million, one hundred one thousand, one hundred".