221210200000 has 336 divisors, whose sum is σ = 568320375168. Its totient is φ = 85376000000.

The previous prime is 221210199997. The next prime is 221210200007. The reversal of 221210200000 is 2012122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 221210200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949399884 + ... + 949400116.

It is an arithmetic number, because the mean of its divisors is an integer number (1691429688).

Almost surely, 2^221210200000 is an apocalyptic number.

221210200000 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 221210200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284160187584).

221210200000 is an abundant number, since it is smaller than the sum of its proper divisors (347110175168).

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

221210200000 is an equidigital number, since it uses as much as digits as its factorization.

221210200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221210200000 its reverse (2012122), we get a palindrome (221212212122).

The spelling of 221210200000 in words is "two hundred twenty-one billion, two hundred ten million, two hundred thousand".