312222210101 has 2 divisors, whose sum is σ = 312222210102. Its totient is φ = 312222210100.

The previous prime is 312222210089. The next prime is 312222210193. The reversal of 312222210101 is 101012222213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308485822225 + 3736387876 = 555415^2 + 61126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312222210101 is a prime.

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 312222210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312222210901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111105050 + 156111105051.

It is an arithmetic number, because the mean of its divisors is an integer number (156111105051).

Almost surely, 2^312222210101 is an apocalyptic number.

It is an amenable number.

312222210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312222210101 is an equidigital number, since it uses as much as digits as its factorization.

312222210101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 312222210101 its reverse (101012222213), we get a palindrome (413234432314).

The spelling of 312222210101 in words is "three hundred twelve billion, two hundred twenty-two million, two hundred ten thousand, one hundred one".