221325100 has 72 divisors (see below), whose sum is σ = 500905440. Its totient is φ = 84779520.

The previous prime is 221325043. The next prime is 221325119. The reversal of 221325100 is 1523122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484072 + ... + 484528.

It is an arithmetic number, because the mean of its divisors is an integer number (6957020).

Almost surely, 2^221325100 is an apocalyptic number.

221325100 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 221325100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250452720).

221325100 is an abundant number, since it is smaller than the sum of its proper divisors (279580340).

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

221325100 is a wasteful number, since it uses less digits than its factorization.

221325100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 221325100 is about 14876.9990253411. Note that the first 3 decimals coincide. The cubic root of 221325100 is about 604.8906753260.

Adding to 221325100 its reverse (1523122), we get a palindrome (222848222).

The spelling of 221325100 in words is "two hundred twenty-one million, three hundred twenty-five thousand, one hundred".