221202212105220 has 96 divisors (see below), whose sum is σ = 624182127085440. Its totient is φ = 58528723169280.

The previous prime is 221202212105201. The next prime is 221202212105221. The reversal of 221202212105220 is 22501212202122.

It is not an unprimeable number, because it can be changed into a prime (221202212105221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53897364 + ... + 57856116.

It is an arithmetic number, because the mean of its divisors is an integer number (6501897157140).

Almost surely, 2^{221202212105220} is an apocalyptic number.

221202212105220 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 221202212105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312091063542720).

221202212105220 is an abundant number, since it is smaller than the sum of its proper divisors (402979914980220).

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

221202212105220 is a wasteful number, since it uses less digits than its factorization.

221202212105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966005 (or 3966003 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 221202212105220 its reverse (22501212202122), we get a palindrome (243703424307342).

The spelling of 221202212105220 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred twelve million, one hundred five thousand, two hundred twenty".