312111112120201 has 2 divisors, whose sum is σ = 312111112120202. Its totient is φ = 312111112120200.

The previous prime is 312111112120187. The next prime is 312111112120207. The reversal of 312111112120201 is 102021211111213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282579495630201 + 29531616490000 = 16810101^2 + 5434300^2 .

It is an emirp because it is prime and its reverse (102021211111213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312111112120201 - 2¹¹ = 312111112118153 is a prime.

It is a super-2 number, since 2×312111112120201² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312111112120207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055556060100 + 156055556060101.

It is an arithmetic number, because the mean of its divisors is an integer number (156055556060101).

Almost surely, 2^{312111112120201} is an apocalyptic number.

It is an amenable number.

312111112120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111112120201 is an equidigital number, since it uses as much as digits as its factorization.

312111112120201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 312111112120201 its reverse (102021211111213), we get a palindrome (414132323231414).

The spelling of 312111112120201 in words is "three hundred twelve trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty thousand, two hundred one".