211011022120200 has 384 divisors, whose sum is σ = 666532904640000. Its totient is φ = 55210162360320.

The previous prime is 211011022120187. The next prime is 211011022120229. The reversal of 211011022120200 is 2021220110112.

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 211011022120200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10491265344 + ... + 10491285456.

It is an arithmetic number, because the mean of its divisors is an integer number (1735762772500).

Almost surely, 2^{211011022120200} is an apocalyptic number.

211011022120200 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 211011022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333266452320000).

211011022120200 is an abundant number, since it is smaller than the sum of its proper divisors (455521882519800).

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

211011022120200 is a wasteful number, since it uses less digits than its factorization.

211011022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221 (or 21212 counting only the distinct ones).

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

Adding to 211011022120200 its reverse (2021220110112), we get a palindrome (213032242230312).

The spelling of 211011022120200 in words is "two hundred eleven trillion, eleven billion, twenty-two million, one hundred twenty thousand, two hundred".