210111202211121 has 12 divisors (see below), whose sum is σ = 313959267672180. Its totient is φ = 135243992227680.

The previous prime is 210111202211087. The next prime is 210111202211143. The reversal of 210111202211121 is 121112202111012.

It is a happy number.

210111202211121 is a `hidden beast` number, since 21 + 0 + 111 + 202 + 211 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122139277168896 + 87971925042225 = 11051664^2 + 9379335^2 .

It is not a de Polignac number, because 210111202211121 - 2⁷ = 210111202210993 is a prime.

It is a super-3 number, since 3×210111202211121³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210111202211094 and 210111202211103.

It is not an unprimeable number, because it can be changed into a prime (210111202211171) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 402511881370 + ... + 402511881891.

It is an arithmetic number, because the mean of its divisors is an integer number (26163272306015).

Almost surely, 2^{210111202211121} is an apocalyptic number.

It is an amenable number.

210111202211121 is a deficient number, since it is larger than the sum of its proper divisors (103848065461059).

210111202211121 is a wasteful number, since it uses less digits than its factorization.

210111202211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805023763296 (or 805023763293 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210111202211121 its reverse (121112202111012), we get a palindrome (331223404322133).

The spelling of 210111202211121 in words is "two hundred ten trillion, one hundred eleven billion, two hundred two million, two hundred eleven thousand, one hundred twenty-one".