122122210000221 has 20 divisors (see below), whose sum is σ = 182442479635900. Its totient is φ = 81409002587136.

The previous prime is 122122210000199. The next prime is 122122210000289. The reversal of 122122210000221 is 122000012221221.

It is a happy number.

122122210000221 is a `hidden beast` number, since 1 + 221 + 2 + 221 + 0 + 0 + 0 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40772886183225 + 81349323816996 = 6385365^2 + 9019386^2 .

It is not a de Polignac number, because 122122210000221 - 2³⁹ = 121572454186333 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122122210000194 and 122122210000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122210005221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52598116 + ... + 54870813.

It is an arithmetic number, because the mean of its divisors is an integer number (9122123981795).

Almost surely, 2^{122122210000221} is an apocalyptic number.

It is an amenable number.

122122210000221 is a deficient number, since it is larger than the sum of its proper divisors (60320269635679).

122122210000221 is a wasteful number, since it uses less digits than its factorization.

122122210000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107482970 (or 107482961 counting only the distinct ones).

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

Adding to 122122210000221 its reverse (122000012221221), we get a palindrome (244122222221442).

The spelling of 122122210000221 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one", and thus it is an aban number.