221322001221300 has 144 divisors (see below), whose sum is σ = 732078762210432. Its totient is φ = 50571249254400.

The previous prime is 221322001221289. The next prime is 221322001221323. The reversal of 221322001221300 is 3122100223122.

It is a super-3 number, since 3×221322001221300³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 10942317 + ... + 23714516.

It is an arithmetic number, because the mean of its divisors is an integer number (5083880293128).

Almost surely, 2^{221322001221300} is an apocalyptic number.

221322001221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221322001221300 is an abundant number, since it is smaller than the sum of its proper divisors (510756760989132).

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

221322001221300 is a wasteful number, since it uses less digits than its factorization.

221322001221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34659898 (or 34659891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221322001221300 its reverse (3122100223122), we get a palindrome (224444101444422).

The spelling of 221322001221300 in words is "two hundred twenty-one trillion, three hundred twenty-two billion, one million, two hundred twenty-one thousand, three hundred".