210212101200 has 240 divisors, whose sum is σ = 709331474880. Its totient is φ = 53067939840.

The previous prime is 210212101117. The next prime is 210212101201. The reversal of 210212101200 is 2101212012.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210212101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44982064 + ... + 44986736.

It is an arithmetic number, because the mean of its divisors is an integer number (2955547812).

Almost surely, 2^210212101200 is an apocalyptic number.

210212101200 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 210212101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354665737440).

210212101200 is an abundant number, since it is smaller than the sum of its proper divisors (499119373680).

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

210212101200 is a wasteful number, since it uses less digits than its factorization.

210212101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6675 counting only the distinct ones).

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

Adding to 210212101200 its reverse (2101212012), we get a palindrome (212313313212).

The spelling of 210212101200 in words is "two hundred ten billion, two hundred twelve million, one hundred one thousand, two hundred".