21211000012200 has 576 divisors, whose sum is σ = 70303622780160. Its totient is φ = 5283942543360.

The previous prime is 21211000012141. The next prime is 21211000012249. The reversal of 21211000012200 is 221000011212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 143 ways as a sum of consecutive naturals, for example, 2930906982 + ... + 2930914218.

It is an arithmetic number, because the mean of its divisors is an integer number (122054900660).

Almost surely, 2^{21211000012200} is an apocalyptic number.

21211000012200 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 21211000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151811390080).

21211000012200 is an abundant number, since it is smaller than the sum of its proper divisors (49092622767960).

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

21211000012200 is a wasteful number, since it uses less digits than its factorization.

21211000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21211000012200 its reverse (221000011212), we get a palindrome (21432000023412).

The spelling of 21211000012200 in words is "twenty-one trillion, two hundred eleven billion, twelve thousand, two hundred".