221311434100 has 72 divisors (see below), whose sum is σ = 485324840000. Its totient is φ = 87589831680.

The previous prime is 221311434083. The next prime is 221311434109. The reversal of 221311434100 is 1434113122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311434109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12856099 + ... + 12873301.

Almost surely, 2^221311434100 is an apocalyptic number.

221311434100 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 221311434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242662420000).

221311434100 is an abundant number, since it is smaller than the sum of its proper divisors (264013405900).

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

221311434100 is a wasteful number, since it uses less digits than its factorization.

221311434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18569 (or 18562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 221311434100 its reverse (1434113122), we get a palindrome (222745547222).

The spelling of 221311434100 in words is "two hundred twenty-one billion, three hundred eleven million, four hundred thirty-four thousand, one hundred".