311201012010121 has 2 divisors, whose sum is σ = 311201012010122. Its totient is φ = 311201012010120.

The previous prime is 311201012010043. The next prime is 311201012010131. The reversal of 311201012010121 is 121010210102113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244707359765625 + 66493652244496 = 15643125^2 + 8154364^2 .

It is a cyclic number.

It is not a de Polignac number, because 311201012010121 - 2³⁹ = 310651256196233 is a prime.

It is a super-2 number, since 2×311201012010121² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311201012010095 and 311201012010104.

It is not a weakly prime, because it can be changed into another prime (311201012010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155600506005060 + 155600506005061.

It is an arithmetic number, because the mean of its divisors is an integer number (155600506005061).

Almost surely, 2^{311201012010121} is an apocalyptic number.

It is an amenable number.

311201012010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311201012010121 is an equidigital number, since it uses as much as digits as its factorization.

311201012010121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 311201012010121 its reverse (121010210102113), we get a palindrome (432211222112234).

The spelling of 311201012010121 in words is "three hundred eleven trillion, two hundred one billion, twelve million, ten thousand, one hundred twenty-one".