221223321230100 has 288 divisors, whose sum is σ = 748555072742400. Its totient is φ = 49387321589760.

The previous prime is 221223321230077. The next prime is 221223321230117. The reversal of 221223321230100 is 1032123322122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3398227351 + ... + 3398292449.

Almost surely, 2^{221223321230100} is an apocalyptic number.

221223321230100 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 221223321230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374277536371200).

221223321230100 is an abundant number, since it is smaller than the sum of its proper divisors (527331751512300).

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

221223321230100 is a wasteful number, since it uses less digits than its factorization.

221223321230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102799 (or 102792 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221223321230100 its reverse (1032123322122), we get a palindrome (222255444552222).

The spelling of 221223321230100 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, three hundred twenty-one million, two hundred thirty thousand, one hundred".