201221223300 has 288 divisors, whose sum is σ = 685858880000. Its totient is φ = 50467328640.

The previous prime is 201221223241. The next prime is 201221223337. The reversal of 201221223300 is 3322122102.

201221223300 is a `hidden beast` number, since 20 + 122 + 1 + 223 + 300 = 666.

201221223300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 7116591 + ... + 7144809.

Almost surely, 2^201221223300 is an apocalyptic number.

201221223300 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 201221223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342929440000).

201221223300 is an abundant number, since it is smaller than the sum of its proper divisors (484637656700).

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

201221223300 is a wasteful number, since it uses less digits than its factorization.

201221223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28400 (or 28387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201221223300 its reverse (3322122102), we get a palindrome (204543345402).

The spelling of 201221223300 in words is "two hundred one billion, two hundred twenty-one million, two hundred twenty-three thousand, three hundred".