201020221211121 has 12 divisors (see below), whose sum is σ = 312698121884148. Its totient is φ = 123704751514464.

The previous prime is 201020221211119. The next prime is 201020221211189. The reversal of 201020221211121 is 121112122020102.

201020221211121 is a `hidden beast` number, since 201 + 0 + 20 + 221 + 211 + 12 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33704573358096 + 167315647853025 = 5805564^2 + 12935055^2 .

It is not a de Polignac number, because 201020221211121 - 2¹ = 201020221211119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201020221211094 and 201020221211103.

It is not an unprimeable number, because it can be changed into a prime (201020221211221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 859060774290 + ... + 859060774523.

It is an arithmetic number, because the mean of its divisors is an integer number (26058176823679).

Almost surely, 2^{201020221211121} is an apocalyptic number.

It is an amenable number.

201020221211121 is a deficient number, since it is larger than the sum of its proper divisors (111677900673027).

201020221211121 is a wasteful number, since it uses less digits than its factorization.

201020221211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718121548832 (or 1718121548829 counting only the distinct ones).

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

Adding to 201020221211121 its reverse (121112122020102), we get a palindrome (322132343231223).

The spelling of 201020221211121 in words is "two hundred one trillion, twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".