122201122221 has 12 divisors (see below), whose sum is σ = 181283346972. Its totient is φ = 79265592576.

The previous prime is 122201122193. The next prime is 122201122237. The reversal of 122201122221 is 122221102221.

It is a happy number.

122201122221 is a `hidden beast` number, since 122 + 201 + 122 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55192104900 + 67009017321 = 234930^2 + 258861^2 .

It is not a de Polignac number, because 122201122221 - 2²² = 122196927917 is a prime.

It is a super-2 number, since 2×122201122221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201122194 and 122201122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201122291) 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 11 ways as a sum of consecutive naturals, for example, 183484836 + ... + 183485501.

It is an arithmetic number, because the mean of its divisors is an integer number (15106945581).

Almost surely, 2^122201122221 is an apocalyptic number.

It is an amenable number.

122201122221 is a deficient number, since it is larger than the sum of its proper divisors (59082224751).

122201122221 is a wasteful number, since it uses less digits than its factorization.

122201122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366970380 (or 366970377 counting only the distinct ones).

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

Adding to 122201122221 its reverse (122221102221), we get a palindrome (244422224442).

The spelling of 122201122221 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty-one".