222132221100 has 180 divisors, whose sum is σ = 732270970200. Its totient is φ = 58231146240.

The previous prime is 222132221039. The next prime is 222132221107. The reversal of 222132221100 is 1122231222.

222132221100 is a `hidden beast` number, since 2 + 221 + 322 + 21 + 100 = 666.

222132221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (222132221107) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 245496 + ... + 710304.

Almost surely, 2^222132221100 is an apocalyptic number.

222132221100 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 222132221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366135485100).

222132221100 is an abundant number, since it is smaller than the sum of its proper divisors (510138749100).

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

222132221100 is a wasteful number, since it uses less digits than its factorization.

222132221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464894 (or 464878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222132221100 its reverse (1122231222), we get a palindrome (223254452322).

It can be divided in two parts, 2221322 and 21100, that added together give a palindrome (2242422).

The spelling of 222132221100 in words is "two hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred".