211200211121 has 16 divisors (see below), whose sum is σ = 216116147520. Its totient is φ = 206341148160.

The previous prime is 211200211087. The next prime is 211200211133. The reversal of 211200211121 is 121112002112.

It is a cyclic number.

It is not a de Polignac number, because 211200211121 - 2³⁴ = 194020341937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211200211096 and 211200211105.

It is not an unprimeable number, because it can be changed into a prime (211200211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15922190 + ... + 15935448.

It is an arithmetic number, because the mean of its divisors is an integer number (13507259220).

Almost surely, 2^211200211121 is an apocalyptic number.

It is an amenable number.

211200211121 is a deficient number, since it is larger than the sum of its proper divisors (4915936399).

211200211121 is a wasteful number, since it uses less digits than its factorization.

211200211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211200211121 its reverse (121112002112), we get a palindrome (332312213233).

The spelling of 211200211121 in words is "two hundred eleven billion, two hundred million, two hundred eleven thousand, one hundred twenty-one".