211121200200 has 48 divisors (see below), whose sum is σ = 654475722480. Its totient is φ = 56298986560.

The previous prime is 211121200187. The next prime is 211121200211. The reversal of 211121200200 is 2002121112.

211121200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211121200200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175933734 + ... + 175934933.

It is an arithmetic number, because the mean of its divisors is an integer number (13634910885).

Almost surely, 2^211121200200 is an apocalyptic number.

211121200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121200200 is an abundant number, since it is smaller than the sum of its proper divisors (443354522280).

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

211121200200 is a wasteful number, since it uses less digits than its factorization.

211121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351868686 (or 351868677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211121200200 its reverse (2002121112), we get a palindrome (213123321312).

The spelling of 211121200200 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred thousand, two hundred".