201211121011221 has 24 divisors (see below), whose sum is σ = 292823139375000. Its totient is φ = 133133795039232.

The previous prime is 201211121011169. The next prime is 201211121011249. The reversal of 201211121011221 is 122110121112102.

It is a happy number.

201211121011221 is a `hidden beast` number, since 20 + 1 + 211 + 1 + 210 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8629722894321 + 192581398116900 = 2937639^2 + 13877370^2 .

It is not a de Polignac number, because 201211121011221 - 2⁷ = 201211121011093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201211121011194 and 201211121011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211121011291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58391376 + ... + 61741193.

It is an arithmetic number, because the mean of its divisors is an integer number (12200964140625).

Almost surely, 2^{201211121011221} is an apocalyptic number.

It is an amenable number.

201211121011221 is a deficient number, since it is larger than the sum of its proper divisors (91612018363779).

201211121011221 is a wasteful number, since it uses less digits than its factorization.

201211121011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120133973 (or 120133970 counting only the distinct ones).

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

Adding to 201211121011221 its reverse (122110121112102), we get a palindrome (323321242123323).

The spelling of 201211121011221 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-one million, eleven thousand, two hundred twenty-one".