201122200112121 has 14 divisors (see below), whose sum is σ = 301545356273450. Its totient is φ = 134081466740928.

The previous prime is 201122200112039. The next prime is 201122200112153. The reversal of 201122200112121 is 121211002221102.

201122200112121 is a `hidden beast` number, since 201 + 12 + 220 + 0 + 112 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123584242754025 + 77537957358096 = 11116845^2 + 8805564^2 .

It is not a de Polignac number, because 201122200112121 - 2⁷ = 201122200111993 is a prime.

It is a super-2 number, since 2×201122200112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201122200112094 and 201122200112103.

It is not an unprimeable number, because it can be changed into a prime (201122200112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 137943895096 + ... + 137943896553.

Almost surely, 2^{201122200112121} is an apocalyptic number.

It is an amenable number.

201122200112121 is a deficient number, since it is larger than the sum of its proper divisors (100423156161329).

201122200112121 is an frugal number, since it uses more digits than its factorization.

201122200112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275887791667 (or 275887791652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201122200112121 its reverse (121211002221102), we get a palindrome (322333202333223).

The spelling of 201122200112121 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred million, one hundred twelve thousand, one hundred twenty-one".