221210212020200 has 144 divisors (see below), whose sum is σ = 556955657216100. Its totient is φ = 81672330854400.

The previous prime is 221210212020191. The next prime is 221210212020229. The reversal of 221210212020200 is 2020212012122.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 136114642245124 + 85095569775076 = 11666818^2 + 9224726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 542658056 + ... + 543065544.

Almost surely, 2^{221210212020200} is an apocalyptic number.

221210212020200 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 221210212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278477828608050).

221210212020200 is an abundant number, since it is smaller than the sum of its proper divisors (335745445195900).

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

221210212020200 is a wasteful number, since it uses less digits than its factorization.

221210212020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423592 (or 423570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221210212020200 its reverse (2020212012122), we get a palindrome (223230424032322).

The spelling of 221210212020200 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twelve million, twenty thousand, two hundred".