21211003300200 has 192 divisors, whose sum is σ = 75177929554560. Its totient is φ = 4846269649920.

The previous prime is 21211003300171. The next prime is 21211003300213. The reversal of 21211003300200 is 200330011212.

It is a super-2 number, since 2×21211003300200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21211003300200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9383974 + ... + 11422826.

It is an arithmetic number, because the mean of its divisors is an integer number (391551716430).

Almost surely, 2^{21211003300200} is an apocalyptic number.

21211003300200 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 21211003300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37588964777280).

21211003300200 is an abundant number, since it is smaller than the sum of its proper divisors (53966926254360).

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

21211003300200 is a wasteful number, since it uses less digits than its factorization.

21211003300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041356 (or 2041347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21211003300200 its reverse (200330011212), we get a palindrome (21411333311412).

The spelling of 21211003300200 in words is "twenty-one trillion, two hundred eleven billion, three million, three hundred thousand, two hundred".