221331210100 has 288 divisors, whose sum is σ = 651154323456. Its totient is φ = 63058521600.

The previous prime is 221331210071. The next prime is 221331210109. The reversal of 221331210100 is 1012133122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221331210109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10299567 + ... + 10321033.

It is an arithmetic number, because the mean of its divisors is an integer number (2260952512).

Almost surely, 2^221331210100 is an apocalyptic number.

221331210100 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 221331210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325577161728).

221331210100 is an abundant number, since it is smaller than the sum of its proper divisors (429823113356).

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

221331210100 is a wasteful number, since it uses less digits than its factorization.

221331210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 221331210100 its reverse (1012133122), we get a palindrome (222343343222).

The spelling of 221331210100 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred ten thousand, one hundred".