3353314122121 has 2 divisors, whose sum is σ = 3353314122122. Its totient is φ = 3353314122120.

The previous prime is 3353314122097. The next prime is 3353314122127. The reversal of 3353314122121 is 1212214133533.

3353314122121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1945567466896 + 1407746655225 = 1394836^2 + 1186485^2 .

It is a cyclic number.

It is not a de Polignac number, because 3353314122121 - 2⁹ = 3353314121609 is a prime.

It is a super-2 number, since 2×3353314122121² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3353314122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1676657061060 + 1676657061061.

It is an arithmetic number, because the mean of its divisors is an integer number (1676657061061).

Almost surely, 2^{3353314122121} is an apocalyptic number.

It is an amenable number.

3353314122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3353314122121 is an equidigital number, since it uses as much as digits as its factorization.

3353314122121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 31.

Adding to 3353314122121 its reverse (1212214133533), we get a palindrome (4565528255654).

It can be divided in two parts, 335331412 and 2121, that added together give a palindrome (335333533).

The spelling of 3353314122121 in words is "three trillion, three hundred fifty-three billion, three hundred fourteen million, one hundred twenty-two thousand, one hundred twenty-one".