221002220012200 has 576 divisors, whose sum is σ = 582478734443760. Its totient is φ = 77897318400000.

The previous prime is 221002220012183. The next prime is 221002220012263. The reversal of 221002220012200 is 2210022200122.

It can be written as a sum of positive squares in 24 ways, for example, as 66294346073956 + 154707873938244 = 8142134^2 + 12438162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24444439680 + ... + 24444448720.

Almost surely, 2^{221002220012200} is an apocalyptic number.

221002220012200 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 221002220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291239367221880).

221002220012200 is an abundant number, since it is smaller than the sum of its proper divisors (361476514431560).

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

221002220012200 is a wasteful number, since it uses less digits than its factorization.

221002220012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221002220012200 its reverse (2210022200122), we get a palindrome (223212242212322).

221002220012200 divided by its reverse (2210022200122) gives a square (100 = 10²).

It can be divided in two parts, 2210022 and 20012200, that added together give a palindrome (22222222).

The spelling of 221002220012200 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, twelve thousand, two hundred".