21000212200000 has 1344 divisors, whose sum is σ = 63363864453120. Its totient is φ = 6815232000000.

The previous prime is 21000212199971. The next prime is 21000212200043. The reversal of 21000212200000 is 221200012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 21000212200000.

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 191 ways as a sum of consecutive naturals, for example, 68404599847 + ... + 68404600153.

It is an arithmetic number, because the mean of its divisors is an integer number (47145732480).

Almost surely, 2^{21000212200000} is an apocalyptic number.

21000212200000 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 21000212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31681932226560).

21000212200000 is an abundant number, since it is smaller than the sum of its proper divisors (42363652253120).

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

21000212200000 is a wasteful number, since it uses less digits than its factorization.

21000212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21000212200000 its reverse (221200012), we get a palindrome (21000433400012).

It can be divided in two parts, 21000212 and 200000, that added together give a palindrome (21200212).

The spelling of 21000212200000 in words is "twenty-one trillion, two hundred twelve million, two hundred thousand".