110113212100320 has 576 divisors, whose sum is σ = 442478489177088. Its totient is φ = 24583527936000.

The previous prime is 110113212100313. The next prime is 110113212100337. The reversal of 110113212100320 is 23001212311011.

110113212100320 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 321 + 21 + 0 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110113212100293 and 110113212100302.

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 95 ways as a sum of consecutive naturals, for example, 88131175 + ... + 89371865.

It is an arithmetic number, because the mean of its divisors is an integer number (768191821488).

Almost surely, 2^{110113212100320} is an apocalyptic number.

110113212100320 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 110113212100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221239244588544).

110113212100320 is an abundant number, since it is smaller than the sum of its proper divisors (332365277076768).

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

110113212100320 is a wasteful number, since it uses less digits than its factorization.

110113212100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241167 (or 1241156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110113212100320 its reverse (23001212311011), we get a palindrome (133114424411331).

It can be divided in two parts, 11011321 and 2100320, that added together give a square (13111641 = 3621²).

The spelling of 110113212100320 in words is "one hundred ten trillion, one hundred thirteen billion, two hundred twelve million, one hundred thousand, three hundred twenty".