2121313200301 has 2 divisors, whose sum is σ = 2121313200302. Its totient is φ = 2121313200300.

The previous prime is 2121313200269. The next prime is 2121313200341. The reversal of 2121313200301 is 1030023131212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1702411705225 + 418901495076 = 1304765^2 + 647226^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121313200301 - 2⁵ = 2121313200269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121313200341) 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 as a sum of consecutive naturals, namely, 1060656600150 + 1060656600151.

It is an arithmetic number, because the mean of its divisors is an integer number (1060656600151).

Almost surely, 2^{2121313200301} is an apocalyptic number.

It is an amenable number.

2121313200301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121313200301 is an equidigital number, since it uses as much as digits as its factorization.

2121313200301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2121313200301 its reverse (1030023131212), we get a palindrome (3151336331513).

The spelling of 2121313200301 in words is "two trillion, one hundred twenty-one billion, three hundred thirteen million, two hundred thousand, three hundred one".