110110330103120 has 40 divisors (see below), whose sum is σ = 271065724404264. Its totient is φ = 41453300744192.

The previous prime is 110110330103107. The next prime is 110110330103153. The reversal of 110110330103120 is 21301033011011.

110110330103120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20208908866624 + 89901421236496 = 4495432^2 + 9481636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40481737649 + ... + 40481740368.

Almost surely, 2^{110110330103120} is an apocalyptic number.

110110330103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110330103120 is an abundant number, since it is smaller than the sum of its proper divisors (160955394301144).

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

110110330103120 is a wasteful number, since it uses less digits than its factorization.

110110330103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80963478047 (or 80963478041 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110110330103120 its reverse (21301033011011), we get a palindrome (131411363114131).

The spelling of 110110330103120 in words is "one hundred ten trillion, one hundred ten billion, three hundred thirty million, one hundred three thousand, one hundred twenty".