221000000111100 has 540 divisors, whose sum is σ = 833747382002304. Its totient is φ = 50490628231680.

The previous prime is 221000000111083. The next prime is 221000000111147. The reversal of 221000000111100 is 1111000000122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 179 ways as a sum of consecutive naturals, for example, 854396389 + ... + 854655011.

Almost surely, 2^{221000000111100} is an apocalyptic number.

221000000111100 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 221000000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416873691001152).

221000000111100 is an abundant number, since it is smaller than the sum of its proper divisors (612747381891204).

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

221000000111100 is a wasteful number, since it uses less digits than its factorization.

221000000111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260816 (or 260793 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221000000111100 its reverse (1111000000122), we get a palindrome (222111000111222).

The spelling of 221000000111100 in words is "two hundred twenty-one trillion, one hundred eleven thousand, one hundred".