2333120122241 has 2 divisors, whose sum is σ = 2333120122242. Its totient is φ = 2333120122240.

The previous prime is 2333120122219. The next prime is 2333120122243. The reversal of 2333120122241 is 1422210213332.

2333120122241 is digitally balanced in base 2, 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., 2331359480641 + 1760641600 = 1526879^2 + 41960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2333120122241 - 2¹⁴ = 2333120105857 is a prime.

Together with 2333120122243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2333120122241.

It is not a weakly prime, because it can be changed into another prime (2333120122243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1166560061120 + 1166560061121.

It is an arithmetic number, because the mean of its divisors is an integer number (1166560061121).

Almost surely, 2^{2333120122241} is an apocalyptic number.

It is an amenable number.

2333120122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2333120122241 is an equidigital number, since it uses as much as digits as its factorization.

2333120122241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2333120122241 its reverse (1422210213332), we get a palindrome (3755330335573).

The spelling of 2333120122241 in words is "two trillion, three hundred thirty-three billion, one hundred twenty million, one hundred twenty-two thousand, two hundred forty-one".