110122122200200 has 192 divisors, whose sum is σ = 285540615659520. Its totient is φ = 39152814624000.

The previous prime is 110122122200177. The next prime is 110122122200219. The reversal of 110122122200200 is 2002221221011.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 101932059 + ... + 103006741.

It is an arithmetic number, because the mean of its divisors is an integer number (1487190706560).

Almost surely, 2^{110122122200200} is an apocalyptic number.

110122122200200 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 110122122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142770307829760).

110122122200200 is an abundant number, since it is smaller than the sum of its proper divisors (175418493459320).

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

110122122200200 is a wasteful number, since it uses less digits than its factorization.

110122122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075748 (or 1075739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110122122200200 its reverse (2002221221011), we get a palindrome (112124343421211).

The spelling of 110122122200200 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred".