221331221100 has 216 divisors, whose sum is σ = 774420558912. Its totient is φ = 52408137600.

The previous prime is 221331221093. The next prime is 221331221119. The reversal of 221331221100 is 1122133122.

221331221100 is a `hidden beast` number, since 221 + 331 + 2 + 2 + 110 + 0 = 666.

221331221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165739 + ... + 685661.

Almost surely, 2^221331221100 is an apocalyptic number.

221331221100 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 221331221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387210279456).

221331221100 is an abundant number, since it is smaller than the sum of its proper divisors (553089337812).

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

221331221100 is a wasteful number, since it uses less digits than its factorization.

221331221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519997 (or 519987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221331221100 its reverse (1122133122), we get a palindrome (222453354222).

The spelling of 221331221100 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred twenty-one thousand, one hundred".