10221333301200 has 360 divisors, whose sum is σ = 38609795445888. Its totient is φ = 2304299612160.

The previous prime is 10221333301177. The next prime is 10221333301237. The reversal of 10221333301200 is 210333312201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 71 ways as a sum of consecutive naturals, for example, 3101769 + ... + 5483031.

Almost surely, 2^{10221333301200} is an apocalyptic number.

10221333301200 is a gapful number since it is divisible by the number (10) 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 10221333301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304897722944).

10221333301200 is an abundant number, since it is smaller than the sum of its proper divisors (28388462144688).

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

10221333301200 is a wasteful number, since it uses less digits than its factorization.

10221333301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381371 (or 2381353 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10221333301200 its reverse (210333312201), we get a palindrome (10431666613401).

The spelling of 10221333301200 in words is "ten trillion, two hundred twenty-one billion, three hundred thirty-three million, three hundred one thousand, two hundred".