312232221100001 has 2 divisors, whose sum is σ = 312232221100002. Its totient is φ = 312232221100000.

The previous prime is 312232221099977. The next prime is 312232221100039. The reversal of 312232221100001 is 100001122232213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292766609459776 + 19465611640225 = 17110424^2 + 4411985^2 .

It is an emirp because it is prime and its reverse (100001122232213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312232221100001 - 2³⁸ = 311957343193057 is a prime.

It is not a weakly prime, because it can be changed into another prime (312232221100201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116110550000 + 156116110550001.

It is an arithmetic number, because the mean of its divisors is an integer number (156116110550001).

Almost surely, 2^{312232221100001} is an apocalyptic number.

It is an amenable number.

312232221100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312232221100001 is an equidigital number, since it uses as much as digits as its factorization.

312232221100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312232221100001 its reverse (100001122232213), we get a palindrome (412233343332214).

The spelling of 312232221100001 in words is "three hundred twelve trillion, two hundred thirty-two billion, two hundred twenty-one million, one hundred thousand, one".