221213100000 has 288 divisors, whose sum is σ = 732958087680. Its totient is φ = 58409280000.

The previous prime is 221213099993. The next prime is 221213100011. The reversal of 221213100000 is 1312122.

221213100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221213100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 30896421 + ... + 30903579.

It is an arithmetic number, because the mean of its divisors is an integer number (2544993360).

Almost surely, 2^221213100000 is an apocalyptic number.

221213100000 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 221213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366479043840).

221213100000 is an abundant number, since it is smaller than the sum of its proper divisors (511744987680).

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

221213100000 is an equidigital number, since it uses as much as digits as its factorization.

221213100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221213100000 its reverse (1312122), we get a palindrome (221214412122).

The spelling of 221213100000 in words is "two hundred twenty-one billion, two hundred thirteen million, one hundred thousand".