211003342420200 has 480 divisors, whose sum is σ = 721600890256800. Its totient is φ = 51004175552000.

The previous prime is 211003342420183. The next prime is 211003342420201. The reversal of 211003342420200 is 2024243300112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211003342420201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3048221590 + ... + 3048290810.

It is an arithmetic number, because the mean of its divisors is an integer number (1503335188035).

Almost surely, 2^{211003342420200} is an apocalyptic number.

211003342420200 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 211003342420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360800445128400).

211003342420200 is an abundant number, since it is smaller than the sum of its proper divisors (510597547836600).

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

211003342420200 is a wasteful number, since it uses less digits than its factorization.

211003342420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69631 (or 69589 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211003342420200 its reverse (2024243300112), we get a palindrome (213027585720312).

The spelling of 211003342420200 in words is "two hundred eleven trillion, three billion, three hundred forty-two million, four hundred twenty thousand, two hundred".