2010123122321 has 2 divisors, whose sum is σ = 2010123122322. Its totient is φ = 2010123122320.

The previous prime is 2010123122297. The next prime is 2010123122323. The reversal of 2010123122321 is 1232213210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1238824650625 + 771298471696 = 1113025^2 + 878236^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010123122321 - 2²⁶ = 2010056013457 is a prime.

Together with 2010123122323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010123122293 and 2010123122302.

It is not a weakly prime, because it can be changed into another prime (2010123122323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005061561160 + 1005061561161.

It is an arithmetic number, because the mean of its divisors is an integer number (1005061561161).

Almost surely, 2^{2010123122321} is an apocalyptic number.

It is an amenable number.

2010123122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010123122321 is an equidigital number, since it uses as much as digits as its factorization.

2010123122321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2010123122321 its reverse (1232213210102), we get a palindrome (3242336332423).

The spelling of 2010123122321 in words is "two trillion, ten billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty-one".