21211112212200 has 384 divisors, whose sum is σ = 75923533440000. Its totient is φ = 5437091865600.

The previous prime is 21211112212127. The next prime is 21211112212201. The reversal of 21211112212200 is 221221111212.

21211112212200 is a `hidden beast` number, since 2 + 1 + 211 + 11 + 221 + 220 + 0 = 666.

It is a super-2 number, since 2×21211112212200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21211112212201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24517402 + ... + 25367798.

It is an arithmetic number, because the mean of its divisors is an integer number (197717535000).

Almost surely, 2^{21211112212200} is an apocalyptic number.

21211112212200 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 21211112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37961766720000).

21211112212200 is an abundant number, since it is smaller than the sum of its proper divisors (54712421227800).

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

21211112212200 is a wasteful number, since it uses less digits than its factorization.

21211112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850602 (or 850587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211112212200 its reverse (221221111212), we get a palindrome (21432333323412).

The spelling of 21211112212200 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred twelve thousand, two hundred".