221011312200 has 192 divisors, whose sum is σ = 783257904000. Its totient is φ = 50500976640.

The previous prime is 221011312189. The next prime is 221011312211. The reversal of 221011312200 is 2213110122.

It is an interprime number because it is at equal distance from previous prime (221011312189) and next prime (221011312211).

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 221011312200.

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, 18007666 + ... + 18019934.

It is an arithmetic number, because the mean of its divisors is an integer number (4079468250).

Almost surely, 2^221011312200 is an apocalyptic number.

221011312200 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 221011312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391628952000).

221011312200 is an abundant number, since it is smaller than the sum of its proper divisors (562246591800).

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

221011312200 is a wasteful number, since it uses less digits than its factorization.

221011312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584 (or 16575 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221011312200 its reverse (2213110122), we get a palindrome (223224422322).

The spelling of 221011312200 in words is "two hundred twenty-one billion, eleven million, three hundred twelve thousand, two hundred".