221323210100 has 72 divisors (see below), whose sum is σ = 488184483360. Its totient is φ = 87079985280.

The previous prime is 221323210037. The next prime is 221323210117. The reversal of 221323210100 is 1012323122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1842479 + ... + 1958921.

Almost surely, 2^221323210100 is an apocalyptic number.

221323210100 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 221323210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244092241680).

221323210100 is an abundant number, since it is smaller than the sum of its proper divisors (266861273260).

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

221323210100 is a wasteful number, since it uses less digits than its factorization.

221323210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116769 (or 116762 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 221323210100 its reverse (1012323122), we get a palindrome (222335533222).

The spelling of 221323210100 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred ten thousand, one hundred".