312321122101 has 2 divisors, whose sum is σ = 312321122102. Its totient is φ = 312321122100.

The previous prime is 312321122051. The next prime is 312321122107. The reversal of 312321122101 is 101221123213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301649199076 + 10671923025 = 549226^2 + 103305^2 .

It is a cyclic number.

It is not a de Polignac number, because 312321122101 - 2⁹ = 312321121589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312321122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156160561050 + 156160561051.

It is an arithmetic number, because the mean of its divisors is an integer number (156160561051).

Almost surely, 2^312321122101 is an apocalyptic number.

It is an amenable number.

312321122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312321122101 is an equidigital number, since it uses as much as digits as its factorization.

312321122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312321122101 its reverse (101221123213), we get a palindrome (413542245314).

The spelling of 312321122101 in words is "three hundred twelve billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred one".