221220012010200 has 384 divisors, whose sum is σ = 789284252574720. Its totient is φ = 50208229324800.

The previous prime is 221220012010163. The next prime is 221220012010219. The reversal of 221220012010200 is 2010210022122.

221220012010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221220012010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 659849814 + ... + 660184986.

It is an arithmetic number, because the mean of its divisors is an integer number (2055427741080).

Almost surely, 2^{221220012010200} is an apocalyptic number.

221220012010200 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 221220012010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394642126287360).

221220012010200 is an abundant number, since it is smaller than the sum of its proper divisors (568064240564520).

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

221220012010200 is a wasteful number, since it uses less digits than its factorization.

221220012010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336307 (or 336298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221220012010200 its reverse (2010210022122), we get a palindrome (223230222032322).

The spelling of 221220012010200 in words is "two hundred twenty-one trillion, two hundred twenty billion, twelve million, ten thousand, two hundred".