312231012101 has 2 divisors, whose sum is σ = 312231012102. Its totient is φ = 312231012100.

The previous prime is 312231012083. The next prime is 312231012113. The reversal of 312231012101 is 101210132213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307281748900 + 4949263201 = 554330^2 + 70351^2 .

It is a cyclic number.

It is not a de Polignac number, because 312231012101 - 2¹⁰ = 312231011077 is a prime.

It is a super-2 number, since 2×312231012101² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312231012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312231012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156115506050 + 156115506051.

It is an arithmetic number, because the mean of its divisors is an integer number (156115506051).

Almost surely, 2^312231012101 is an apocalyptic number.

It is an amenable number.

312231012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312231012101 is an equidigital number, since it uses as much as digits as its factorization.

312231012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312231012101 its reverse (101210132213), we get a palindrome (413441144314).

The spelling of 312231012101 in words is "three hundred twelve billion, two hundred thirty-one million, twelve thousand, one hundred one".