12210212100200 has 96 divisors (see below), whose sum is σ = 30101071008600. Its totient is φ = 4590301347840.

The previous prime is 12210212100187. The next prime is 12210212100221. The reversal of 12210212100200 is 200121201221.

12210212100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 594943798276 + 11615268301924 = 771326^2 + 3408118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122009 + ... + 4943208.

Almost surely, 2^{12210212100200} is an apocalyptic number.

12210212100200 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 12210212100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050535504300).

12210212100200 is an abundant number, since it is smaller than the sum of its proper divisors (17890858908400).

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

12210212100200 is a wasteful number, since it uses less digits than its factorization.

12210212100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065959 (or 5065950 counting only the distinct ones).

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

Adding to 12210212100200 its reverse (200121201221), we get a palindrome (12410333301421).

The spelling of 12210212100200 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, two hundred".