3420111412121 has 2 divisors, whose sum is σ = 3420111412122. Its totient is φ = 3420111412120.

The previous prime is 3420111412111. The next prime is 3420111412177. The reversal of 3420111412121 is 1212141110243.

3420111412121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2918083897600 + 502027514521 = 1708240^2 + 708539^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420111412121 - 2¹⁸ = 3420111149977 is a prime.

It is not a weakly prime, because it can be changed into another prime (3420111412111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1710055706060 + 1710055706061.

It is an arithmetic number, because the mean of its divisors is an integer number (1710055706061).

Almost surely, 2^{3420111412121} is an apocalyptic number.

It is an amenable number.

3420111412121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420111412121 is an equidigital number, since it uses as much as digits as its factorization.

3420111412121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 3420111412121 its reverse (1212141110243), we get a palindrome (4632252522364).

The spelling of 3420111412121 in words is "three trillion, four hundred twenty billion, one hundred eleven million, four hundred twelve thousand, one hundred twenty-one".