21211112000200 has 192 divisors, whose sum is σ = 55469302416000. Its totient is φ = 7495670845440.

The previous prime is 21211112000179. The next prime is 21211112000209. The reversal of 21211112000200 is 200021111212.

It is a super-2 number, since 2×21211112000200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21211112000209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5535229 + ... + 8547571.

It is an arithmetic number, because the mean of its divisors is an integer number (288902616750).

Almost surely, 2^{21211112000200} is an apocalyptic number.

21211112000200 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 21211112000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734651208000).

21211112000200 is an abundant number, since it is smaller than the sum of its proper divisors (34258190415800).

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

21211112000200 is a wasteful number, since it uses less digits than its factorization.

21211112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012504 (or 3012495 counting only the distinct ones).

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

Adding to 21211112000200 its reverse (200021111212), we get a palindrome (21411133111412).

The spelling of 21211112000200 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred", and thus it is an aban number.