122121021221 has 8 divisors (see below), whose sum is σ = 122413558680. Its totient is φ = 121828831488.

The previous prime is 122121021199. The next prime is 122121021259. The reversal of 122121021221 is 122120121221.

It can be written as a sum of positive squares in 4 ways, for example, as 25182198721 + 96938822500 = 158689^2 + 311350^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122121021221 - 2⁶ = 122121021157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121021821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623225 + ... + 795393.

It is an arithmetic number, because the mean of its divisors is an integer number (15301694835).

Almost surely, 2^122121021221 is an apocalyptic number.

It is an amenable number.

122121021221 is a deficient number, since it is larger than the sum of its proper divisors (292537459).

122121021221 is an equidigital number, since it uses as much as digits as its factorization.

122121021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173863.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122121021221 its reverse (122120121221), we get a palindrome (244241142442).

The spelling of 122121021221 in words is "one hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty-one".