221100020121200 has 120 divisors (see below), whose sum is σ = 579550824397056. Its totient is φ = 80390604384000.

The previous prime is 221100020121151. The next prime is 221100020121221. The reversal of 221100020121200 is 2121020001122.

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 23 ways as a sum of consecutive naturals, for example, 34743065 + ... + 40611335.

Almost surely, 2^{221100020121200} is an apocalyptic number.

221100020121200 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 221100020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289775412198528).

221100020121200 is an abundant number, since it is smaller than the sum of its proper divisors (358450804275856).

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

221100020121200 is a wasteful number, since it uses less digits than its factorization.

221100020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876863 (or 5876852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221100020121200 its reverse (2121020001122), we get a palindrome (223221040122322).

The spelling of 221100020121200 in words is "two hundred twenty-one trillion, one hundred billion, twenty million, one hundred twenty-one thousand, two hundred".