201122022100221 has 48 divisors (see below), whose sum is σ = 299216242940160. Its totient is φ = 130084194672000.

The previous prime is 201122022100183. The next prime is 201122022100229. The reversal of 201122022100221 is 122001220221102.

It is a happy number.

201122022100221 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 220 + 221 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 201122022100221 - 2⁶ = 201122022100157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201122022100194 and 201122022100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122022100229) 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 47 ways as a sum of consecutive naturals, for example, 162688410 + ... + 163919988.

It is an arithmetic number, because the mean of its divisors is an integer number (6233671727920).

Almost surely, 2^{201122022100221} is an apocalyptic number.

It is an amenable number.

201122022100221 is a deficient number, since it is larger than the sum of its proper divisors (98094220839939).

201122022100221 is a wasteful number, since it uses less digits than its factorization.

201122022100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233026 (or 1233023 counting only the distinct ones).

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

Adding to 201122022100221 its reverse (122001220221102), we get a palindrome (323123242321323).

The spelling of 201122022100221 in words is "two hundred one trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand, two hundred twenty-one".