110113122022200 has 384 divisors, whose sum is σ = 413907374304000. Its totient is φ = 26684478835200.

The previous prime is 110113122022159. The next prime is 110113122022229. The reversal of 110113122022200 is 2220221311011.

110113122022200 is a `hidden beast` number, since 110 + 1 + 1 + 312 + 20 + 2 + 220 + 0 = 666.

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

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, 165334267 + ... + 165998933.

It is an arithmetic number, because the mean of its divisors is an integer number (1077883787250).

Almost surely, 2^{110113122022200} is an apocalyptic number.

110113122022200 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 110113122022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206953687152000).

110113122022200 is an abundant number, since it is smaller than the sum of its proper divisors (303794252281800).

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

110113122022200 is a wasteful number, since it uses less digits than its factorization.

110113122022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667492 (or 667477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110113122022200 its reverse (2220221311011), we get a palindrome (112333343333211).

The spelling of 110113122022200 in words is "one hundred ten trillion, one hundred thirteen billion, one hundred twenty-two million, twenty-two thousand, two hundred".