211300102200 has 192 divisors, whose sum is σ = 716201481600. Its totient is φ = 51107929600.

The previous prime is 211300102183. The next prime is 211300102207. The reversal of 211300102200 is 2201003112.

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 (211300102207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2887666 + ... + 2959934.

It is an arithmetic number, because the mean of its divisors is an integer number (3730216050).

Almost surely, 2^211300102200 is an apocalyptic number.

211300102200 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 211300102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358100740800).

211300102200 is an abundant number, since it is smaller than the sum of its proper divisors (504901379400).

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

211300102200 is a wasteful number, since it uses less digits than its factorization.

211300102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742 (or 72733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211300102200 its reverse (2201003112), we get a palindrome (213501105312).

The spelling of 211300102200 in words is "two hundred eleven billion, three hundred million, one hundred two thousand, two hundred".