221210341000 has 256 divisors, whose sum is σ = 610652390400. Its totient is φ = 74094592000.

The previous prime is 221210340977. The next prime is 221210341003. The reversal of 221210341000 is 143012122.

It is not an unprimeable number, because it can be changed into a prime (221210341003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8776416 + ... + 8801584.

It is an arithmetic number, because the mean of its divisors is an integer number (2385360900).

Almost surely, 2^221210341000 is an apocalyptic number.

221210341000 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 221210341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305326195200).

221210341000 is an abundant number, since it is smaller than the sum of its proper divisors (389442049400).

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

221210341000 is a wasteful number, since it uses less digits than its factorization.

221210341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25265 (or 25251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221210341000 its reverse (143012122), we get a palindrome (221353353122).

The spelling of 221210341000 in words is "two hundred twenty-one billion, two hundred ten million, three hundred forty-one thousand".