21212101011200 has 216 divisors, whose sum is σ = 57713537097216. Its totient is φ = 7654606336000.

The previous prime is 21212101011169. The next prime is 21212101011281. The reversal of 21212101011200 is 211010121212.

It is a super-3 number, since 3×21212101011200³ (a number of 41 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 8072369 + ... + 10372431.

It is an arithmetic number, because the mean of its divisors is an integer number (267192301376).

Almost surely, 2^{21212101011200} is an apocalyptic number.

21212101011200 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 21212101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28856768548608).

21212101011200 is an abundant number, since it is smaller than the sum of its proper divisors (36501436086016).

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

21212101011200 is a wasteful number, since it uses less digits than its factorization.

21212101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300231 (or 2300212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21212101011200 its reverse (211010121212), we get a palindrome (21423111132412).

The spelling of 21212101011200 in words is "twenty-one trillion, two hundred twelve billion, one hundred one million, eleven thousand, two hundred".