110122200212200 has 144 divisors (see below), whose sum is σ = 282209867100000. Its totient is φ = 39932888899200.

The previous prime is 110122200212153. The next prime is 110122200212261. The reversal of 110122200212200 is 2212002221011.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 2350051 + ... + 15025549.

It is an arithmetic number, because the mean of its divisors is an integer number (1959790743750).

Almost surely, 2^{110122200212200} is an apocalyptic number.

110122200212200 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 110122200212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141104933550000).

110122200212200 is an abundant number, since it is smaller than the sum of its proper divisors (172087666887800).

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

110122200212200 is a wasteful number, since it uses less digits than its factorization.

110122200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675896 (or 12675876 counting only the distinct ones).

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

Adding to 110122200212200 its reverse (2212002221011), we get a palindrome (112334202433211).

The spelling of 110122200212200 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, two hundred".