221327144100 has 108 divisors (see below), whose sum is σ = 694871078356. Its totient is φ = 58924143360.

The previous prime is 221327144089. The next prime is 221327144111. The reversal of 221327144100 is 1441723122.

221327144100 is a `hidden beast` number, since 2 + 213 + 2 + 7 + 1 + 441 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221327144089) and next prime (221327144111).

It can be written as a sum of positive squares in 6 ways, for example, as 4817470464 + 216509673636 = 69408^2 + 465306^2 .

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 35 ways as a sum of consecutive naturals, for example, 351114 + ... + 752286.

Almost surely, 2^221327144100 is an apocalyptic number.

221327144100 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 221327144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347435539178).

221327144100 is an abundant number, since it is smaller than the sum of its proper divisors (473543934256).

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

221327144100 is a wasteful number, since it uses less digits than its factorization.

221327144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401806 (or 401796 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 221327144100 its reverse (1441723122), we get a palindrome (222768867222).

The spelling of 221327144100 in words is "two hundred twenty-one billion, three hundred twenty-seven million, one hundred forty-four thousand, one hundred".