21211020011200 has 336 divisors, whose sum is σ = 53082602496000. Its totient is φ = 8341208064000.

The previous prime is 21211020011197. The next prime is 21211020011239. The reversal of 21211020011200 is 211002011212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20220228276 + ... + 20220229324.

It is an arithmetic number, because the mean of its divisors is an integer number (157983936000).

Almost surely, 2^{21211020011200} is an apocalyptic number.

21211020011200 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 21211020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541301248000).

21211020011200 is an abundant number, since it is smaller than the sum of its proper divisors (31871582484800).

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

21211020011200 is a wasteful number, since it uses less digits than its factorization.

21211020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21211020011200 its reverse (211002011212), we get a palindrome (21422022022412).

The spelling of 21211020011200 in words is "twenty-one trillion, two hundred eleven billion, twenty million, eleven thousand, two hundred".