221302132300 has 72 divisors (see below), whose sum is σ = 487565450064. Its totient is φ = 87168829440.

The previous prime is 221302132283. The next prime is 221302132339. The reversal of 221302132300 is 3231203122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32270472 + ... + 32277328.

It is an arithmetic number, because the mean of its divisors is an integer number (6771742362).

Almost surely, 2^221302132300 is an apocalyptic number.

221302132300 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 221302132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243782725032).

221302132300 is an abundant number, since it is smaller than the sum of its proper divisors (266263317764).

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

221302132300 is a wasteful number, since it uses less digits than its factorization.

221302132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11755 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 221302132300 its reverse (3231203122), we get a palindrome (224533335422).

The spelling of 221302132300 in words is "two hundred twenty-one billion, three hundred two million, one hundred thirty-two thousand, three hundred".