201122012020221 has 96 divisors (see below), whose sum is σ = 311453260185600. Its totient is φ = 124792696828800.

The previous prime is 201122012020159. The next prime is 201122012020277. The reversal of 201122012020221 is 122020210221102.

It is a happy number.

201122012020221 is a `hidden beast` number, since 20 + 1 + 1 + 220 + 1 + 202 + 0 + 221 = 666.

It is not a de Polignac number, because 201122012020221 - 2²³ = 201122003631613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201122012020194 and 201122012020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122012020291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356223055 + ... + 356787203.

It is an arithmetic number, because the mean of its divisors is an integer number (3244304793600).

Almost surely, 2^{201122012020221} is an apocalyptic number.

It is an amenable number.

201122012020221 is a deficient number, since it is larger than the sum of its proper divisors (110331248165379).

201122012020221 is a wasteful number, since it uses less digits than its factorization.

201122012020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564567 (or 564564 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122012020221 its reverse (122020210221102), we get a palindrome (323142222241323).

The spelling of 201122012020221 in words is "two hundred one trillion, one hundred twenty-two billion, twelve million, twenty thousand, two hundred twenty-one".