211021122200200 has 384 divisors, whose sum is σ = 551265186769920. Its totient is φ = 74593065369600.

The previous prime is 211021122200137. The next prime is 211021122200227. The reversal of 211021122200200 is 2002221120112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25901692527 + ... + 25901700673.

It is an arithmetic number, because the mean of its divisors is an integer number (1435586423880).

Almost surely, 2^{211021122200200} is an apocalyptic number.

211021122200200 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 211021122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275632593384960).

211021122200200 is an abundant number, since it is smaller than the sum of its proper divisors (340244064569720).

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

211021122200200 is a wasteful number, since it uses less digits than its factorization.

211021122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211021122200200 its reverse (2002221120112), we get a palindrome (213023343320312).

The spelling of 211021122200200 in words is "two hundred eleven trillion, twenty-one billion, one hundred twenty-two million, two hundred thousand, two hundred".