210011012221200 has 240 divisors, whose sum is σ = 691334743619520. Its totient is φ = 54465773322240.

The previous prime is 210011012221189. The next prime is 210011012221217. The reversal of 210011012221200 is 2122210110012.

It is a tau number, because it is divible by the number of its divisors (240).

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 210011012221200.

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, 3288936 + ... + 20756664.

It is an arithmetic number, because the mean of its divisors is an integer number (2880561431748).

Almost surely, 2^{210011012221200} is an apocalyptic number.

210011012221200 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 210011012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345667371809760).

210011012221200 is an abundant number, since it is smaller than the sum of its proper divisors (481323731398320).

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

210011012221200 is a wasteful number, since it uses less digits than its factorization.

210011012221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17468026 (or 17468015 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210011012221200 its reverse (2122210110012), we get a palindrome (212133222331212).

The spelling of 210011012221200 in words is "two hundred ten trillion, eleven billion, twelve million, two hundred twenty-one thousand, two hundred".