221434322100 has 144 divisors (see below), whose sum is σ = 643425818112. Its totient is φ = 58796951040.

The previous prime is 221434322093. The next prime is 221434322189. The reversal of 221434322100 is 1223434122.

It is a happy number.

221434322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96568554 + ... + 96570846.

It is an arithmetic number, because the mean of its divisors is an integer number (4468234848).

Almost surely, 2^221434322100 is an apocalyptic number.

221434322100 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 221434322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321712909056).

221434322100 is an abundant number, since it is smaller than the sum of its proper divisors (421991496012).

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

221434322100 is a wasteful number, since it uses less digits than its factorization.

221434322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221434322100 its reverse (1223434122), we get a palindrome (222657756222).

The spelling of 221434322100 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred twenty-two thousand, one hundred".