21033301221000 has 576 divisors, whose sum is σ = 78124902570000. Its totient is φ = 5096895283200.

The previous prime is 21033301220993. The next prime is 21033301221011. The reversal of 21033301221000 is 12210333012.

21033301221000 is a `hidden beast` number, since 210 + 3 + 330 + 1 + 22 + 100 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3775707561924 + 17257593659076 = 1943118^2 + 4154226^2 .

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 143 ways as a sum of consecutive naturals, for example, 75289576 + ... + 75568424.

Almost surely, 2^{21033301221000} is an apocalyptic number.

21033301221000 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 21033301221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39062451285000).

21033301221000 is an abundant number, since it is smaller than the sum of its proper divisors (57091601349000).

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

21033301221000 is a wasteful number, since it uses less digits than its factorization.

21033301221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278939 (or 278905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21033301221000 its reverse (12210333012), we get a palindrome (21045511554012).

The spelling of 21033301221000 in words is "twenty-one trillion, thirty-three billion, three hundred one million, two hundred twenty-one thousand".