221311044111100 has 144 divisors (see below), whose sum is σ = 496426331681280. Its totient is φ = 85584497644800.

The previous prime is 221311044111097. The next prime is 221311044111107. The reversal of 221311044111100 is 1111440113122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311044111107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916239345 + ... + 916480855.

It is an arithmetic number, because the mean of its divisors is an integer number (3447405081120).

Almost surely, 2^{221311044111100} is an apocalyptic number.

221311044111100 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 221311044111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248213165840640).

221311044111100 is an abundant number, since it is smaller than the sum of its proper divisors (275115287570180).

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

221311044111100 is a wasteful number, since it uses less digits than its factorization.

221311044111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243740 (or 243733 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 221311044111100 its reverse (1111440113122), we get a palindrome (222422484224222).

The spelling of 221311044111100 in words is "two hundred twenty-one trillion, three hundred eleven billion, forty-four million, one hundred eleven thousand, one hundred".