211121011221201 has 24 divisors (see below), whose sum is σ = 305014112643240. Its totient is φ = 140718940068096.

The previous prime is 211121011221181. The next prime is 211121011221227. The reversal of 211121011221201 is 102122110121112.

It is a happy number.

211121011221201 is a `hidden beast` number, since 21 + 1 + 1 + 210 + 11 + 221 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82007241966225 + 129113769254976 = 9055785^2 + 11362824^2 .

It is not a de Polignac number, because 211121011221201 - 2²⁷ = 211120877003473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211121011221101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026805315 + ... + 1027010903.

It is an arithmetic number, because the mean of its divisors is an integer number (12708921360135).

Almost surely, 2^{211121011221201} is an apocalyptic number.

It is an amenable number.

211121011221201 is a deficient number, since it is larger than the sum of its proper divisors (93893101422039).

211121011221201 is a wasteful number, since it uses less digits than its factorization.

211121011221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228065 (or 228062 counting only the distinct ones).

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

Adding to 211121011221201 its reverse (102122110121112), we get a palindrome (313243121342313).

The spelling of 211121011221201 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred one".