221301022200 has 192 divisors, whose sum is σ = 702472003200. Its totient is φ = 57601420800.

The previous prime is 221301022193. The next prime is 221301022219. The reversal of 221301022200 is 2220103122.

It is a happy number.

221301022200 is digitally balanced in base 3, 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 221301022200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65298106 + ... + 65301494.

It is an arithmetic number, because the mean of its divisors is an integer number (3658708350).

Almost surely, 2^221301022200 is an apocalyptic number.

221301022200 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 221301022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351236001600).

221301022200 is an abundant number, since it is smaller than the sum of its proper divisors (481170981000).

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

221301022200 is a wasteful number, since it uses less digits than its factorization.

221301022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221301022200 its reverse (2220103122), we get a palindrome (223521125322).

The spelling of 221301022200 in words is "two hundred twenty-one billion, three hundred one million, twenty-two thousand, two hundred".