12100221200200 has 288 divisors, whose sum is σ = 32857150132800. Its totient is φ = 4132075368960.

The previous prime is 12100221200189. The next prime is 12100221200209. The reversal of 12100221200200 is 200212200121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12100221200209) 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 71 ways as a sum of consecutive naturals, for example, 3201961911 + ... + 3201965689.

It is an arithmetic number, because the mean of its divisors is an integer number (114087326850).

Almost surely, 2^{12100221200200} is an apocalyptic number.

12100221200200 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 12100221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428575066400).

12100221200200 is an abundant number, since it is smaller than the sum of its proper divisors (20756928932600).

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

12100221200200 is a wasteful number, since it uses less digits than its factorization.

12100221200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12100221200200 its reverse (200212200121), we get a palindrome (12300433400321).

The spelling of 12100221200200 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, two hundred thousand, two hundred".