221100133333200 has 720 divisors, whose sum is σ = 820756394270400. Its totient is φ = 50699354112000.

The previous prime is 221100133333193. The next prime is 221100133333279. The reversal of 221100133333200 is 2333331001122.

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 143 ways as a sum of consecutive naturals, for example, 1768328286 + ... + 1768453314.

Almost surely, 2^{221100133333200} is an apocalyptic number.

221100133333200 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 221100133333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410378197135200).

221100133333200 is an abundant number, since it is smaller than the sum of its proper divisors (599656260937200).

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

221100133333200 is a wasteful number, since it uses less digits than its factorization.

221100133333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125732 (or 125710 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 221100133333200 its reverse (2333331001122), we get a palindrome (223433464334322).

The spelling of 221100133333200 in words is "two hundred twenty-one trillion, one hundred billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred".