212221120100200 has 96 divisors (see below), whose sum is σ = 494709927174360. Its totient is φ = 84665673216000.

The previous prime is 212221120100191. The next prime is 212221120100233. The reversal of 212221120100200 is 2001021122212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 47662150673284 + 164558969426916 = 6903778^2 + 12828054^2 .

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, 209073900 + ... + 210086500.

Almost surely, 2^{212221120100200} is an apocalyptic number.

212221120100200 is a gapful number since it is divisible by the number (20) 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 212221120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247354963587180).

212221120100200 is an abundant number, since it is smaller than the sum of its proper divisors (282488807074160).

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

212221120100200 is a wasteful number, since it uses less digits than its factorization.

212221120100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015367 (or 1015358 counting only the distinct ones).

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

Adding to 212221120100200 its reverse (2001021122212), we get a palindrome (214222141222412).

The spelling of 212221120100200 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred twenty million, one hundred thousand, two hundred".