211200121121 has 8 divisors (see below), whose sum is σ = 230444905824. Its totient is φ = 191962798720.

The previous prime is 211200121109. The next prime is 211200121199. The reversal of 211200121121 is 121121002112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211200121121 - 2¹⁰ = 211200120097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211200121096 and 211200121105.

It is not an unprimeable number, because it can be changed into a prime (211200121621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806311 + ... + 1919676.

It is an arithmetic number, because the mean of its divisors is an integer number (28805613228).

Almost surely, 2^211200121121 is an apocalyptic number.

It is an amenable number.

211200121121 is a deficient number, since it is larger than the sum of its proper divisors (19244784703).

211200121121 is a wasteful number, since it uses less digits than its factorization.

211200121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731151.

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

Adding to 211200121121 its reverse (121121002112), we get a palindrome (332321123233).

The spelling of 211200121121 in words is "two hundred eleven billion, two hundred million, one hundred twenty-one thousand, one hundred twenty-one".