312110101 has 2 divisors, whose sum is σ = 312110102. Its totient is φ = 312110100.

The previous prime is 312110083. The next prime is 312110111. The reversal of 312110101 is 101011213.

It is an a-pointer prime, because the next prime (312110111) can be obtained adding 312110101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262407601 + 49702500 = 16199^2 + 7050^2 .

It is a cyclic number.

It is not a de Polignac number, because 312110101 - 2¹⁷ = 311979029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055050 + 156055051.

It is an arithmetic number, because the mean of its divisors is an integer number (156055051).

Almost surely, 2^312110101 is an apocalyptic number.

It is an amenable number.

312110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110101 is an equidigital number, since it uses as much as digits as its factorization.

312110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 312110101 is about 17666.6380785932. The cubic root of 312110101 is about 678.3220603677.

Adding to 312110101 its reverse (101011213), we get a palindrome (413121314).

The spelling of 312110101 in words is "three hundred twelve million, one hundred ten thousand, one hundred one".