312111210001 has 2 divisors, whose sum is σ = 312111210002. Its totient is φ = 312111210000.

The previous prime is 312111209989. The next prime is 312111210049. The reversal of 312111210001 is 100012111213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311514678225 + 596531776 = 558135^2 + 24424^2 .

It is a cyclic number.

It is not a de Polignac number, because 312111210001 - 2⁷ = 312111209873 is a prime.

It is not a weakly prime, because it can be changed into another prime (312111214001) 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, 156055605000 + 156055605001.

It is an arithmetic number, because the mean of its divisors is an integer number (156055605001).

Almost surely, 2^312111210001 is an apocalyptic number.

It is an amenable number.

312111210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111210001 is an equidigital number, since it uses as much as digits as its factorization.

312111210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 312111210001 its reverse (100012111213), we get a palindrome (412123321214).

The spelling of 312111210001 in words is "three hundred twelve billion, one hundred eleven million, two hundred ten thousand, one".