21202021220000 has 240 divisors, whose sum is σ = 53983711089000. Its totient is φ = 8184583680000.

The previous prime is 21202021219969. The next prime is 21202021220063. The reversal of 21202021220000 is 2212020212.

It can be written as a sum of positive squares in 20 ways, for example, as 9606007614736 + 11596013605264 = 3099356^2 + 3405292^2 .

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 39 ways as a sum of consecutive naturals, for example, 1478412830 + ... + 1478427170.

Almost surely, 2^{21202021220000} is an apocalyptic number.

21202021220000 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 21202021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26991855544500).

21202021220000 is an abundant number, since it is smaller than the sum of its proper divisors (32781689869000).

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

21202021220000 is a wasteful number, since it uses less digits than its factorization.

21202021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16949 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21202021220000 its reverse (2212020212), we get a palindrome (21204233240212).

It can be divided in two parts, 212020212 and 20000, that added together give a palindrome (212040212).

The spelling of 21202021220000 in words is "twenty-one trillion, two hundred two billion, twenty-one million, two hundred twenty thousand".