122221202121 has 24 divisors (see below), whose sum is σ = 183182390664. Its totient is φ = 78461291520.

The previous prime is 122221202083. The next prime is 122221202161. The reversal of 122221202121 is 121202122221.

It is a happy number.

122221202121 is a `hidden beast` number, since 122 + 221 + 202 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40545849600 + 81675352521 = 201360^2 + 285789^2 .

It is not a de Polignac number, because 122221202121 - 2²² = 122217007817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221202094 and 122221202103.

It is not an unprimeable number, because it can be changed into a prime (122221202161) 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, 1859610 + ... + 1924211.

It is an arithmetic number, because the mean of its divisors is an integer number (7632599611).

Almost surely, 2^122221202121 is an apocalyptic number.

It is an amenable number.

122221202121 is a deficient number, since it is larger than the sum of its proper divisors (60961188543).

122221202121 is a wasteful number, since it uses less digits than its factorization.

122221202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783961 (or 3783958 counting only the distinct ones).

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

Adding to 122221202121 its reverse (121202122221), we get a palindrome (243423324342).

The spelling of 122221202121 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty-one".