110002210221200 has 960 divisors, whose sum is σ = 308225849425920. Its totient is φ = 37354576896000.

The previous prime is 110002210221191. The next prime is 110002210221203. The reversal of 110002210221200 is 2122012200011.

It is not an unprimeable number, because it can be changed into a prime (110002210221203) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 181222751297 + ... + 181222751903.

It is an arithmetic number, because the mean of its divisors is an integer number (321068593152).

Almost surely, 2^{110002210221200} is an apocalyptic number.

110002210221200 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 110002210221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154112924712960).

110002210221200 is an abundant number, since it is smaller than the sum of its proper divisors (198223639204720).

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

110002210221200 is a wasteful number, since it uses less digits than its factorization.

110002210221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110002210221200 its reverse (2122012200011), we get a palindrome (112124222421211).

The spelling of 110002210221200 in words is "one hundred ten trillion, two billion, two hundred ten million, two hundred twenty-one thousand, two hundred".