211122110020200 has 192 divisors, whose sum is σ = 665805167884800. Its totient is φ = 55325566176000.

The previous prime is 211122110020189. The next prime is 211122110020207. The reversal of 211122110020200 is 2020011221112.

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 211122110020200.

It is not an unprimeable number, because it can be changed into a prime (211122110020207) 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, 99879469 + ... + 101971331.

It is an arithmetic number, because the mean of its divisors is an integer number (3467735249400).

Almost surely, 2^{211122110020200} is an apocalyptic number.

211122110020200 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 211122110020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332902583942400).

211122110020200 is an abundant number, since it is smaller than the sum of its proper divisors (454683057864600).

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

211122110020200 is a wasteful number, since it uses less digits than its factorization.

211122110020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094792 (or 2094783 counting only the distinct ones).

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

Adding to 211122110020200 its reverse (2020011221112), we get a palindrome (213142121241312).

The spelling of 211122110020200 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred ten million, twenty thousand, two hundred".