221424440100 has 432 divisors, whose sum is σ = 708043182336. Its totient is φ = 53362944000.

The previous prime is 221424440077. The next prime is 221424440101. The reversal of 221424440100 is 1044424122.

It is not an unprimeable number, because it can be changed into a prime (221424440101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208693570 + ... + 208694630.

It is an arithmetic number, because the mean of its divisors is an integer number (1638988848).

Almost surely, 2^221424440100 is an apocalyptic number.

221424440100 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 221424440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354021591168).

221424440100 is an abundant number, since it is smaller than the sum of its proper divisors (486618742236).

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

221424440100 is a wasteful number, since it uses less digits than its factorization.

221424440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221424440100 its reverse (1044424122), we get a palindrome (222468864222).

The spelling of 221424440100 in words is "two hundred twenty-one billion, four hundred twenty-four million, four hundred forty thousand, one hundred".