221300311342200 has 384 divisors, whose sum is σ = 702576602219520. Its totient is φ = 57597354547200.

The previous prime is 221300311342183. The next prime is 221300311342223. The reversal of 221300311342200 is 2243113003122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15483118254 + ... + 15483132546.

It is an arithmetic number, because the mean of its divisors is an integer number (1829626568280).

Almost surely, 2^{221300311342200} is an apocalyptic number.

221300311342200 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 221300311342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351288301109760).

221300311342200 is an abundant number, since it is smaller than the sum of its proper divisors (481276290877320).

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

221300311342200 is a wasteful number, since it uses less digits than its factorization.

221300311342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221300311342200 its reverse (2243113003122), we get a palindrome (223543424345322).

The spelling of 221300311342200 in words is "two hundred twenty-one trillion, three hundred billion, three hundred eleven million, three hundred forty-two thousand, two hundred".