212110202101200 has 240 divisors, whose sum is σ = 732263521676736. Its totient is φ = 52173374054400.

The previous prime is 212110202101181. The next prime is 212110202101223. The reversal of 212110202101200 is 2101202011212.

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 212110202101200.

It is a congruent number.

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, 16236447 + ... + 26226753.

Almost surely, 2^{212110202101200} is an apocalyptic number.

212110202101200 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 212110202101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366131760838368).

212110202101200 is an abundant number, since it is smaller than the sum of its proper divisors (520153319575536).

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

212110202101200 is a wasteful number, since it uses less digits than its factorization.

212110202101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991702 (or 9991691 counting only the distinct ones).

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

Adding to 212110202101200 its reverse (2101202011212), we get a palindrome (214211404112412).

The spelling of 212110202101200 in words is "two hundred twelve trillion, one hundred ten billion, two hundred two million, one hundred one thousand, two hundred".