312121230101 has 2 divisors, whose sum is σ = 312121230102. Its totient is φ = 312121230100.

The previous prime is 312121230067. The next prime is 312121230107. The reversal of 312121230101 is 101032121213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173577223876 + 138544006225 = 416626^2 + 372215^2 .

It is a cyclic number.

It is not a de Polignac number, because 312121230101 - 2⁶ = 312121230037 is a prime.

It is a super-2 number, since 2×312121230101² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312121230101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312121230107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060615050 + 156060615051.

It is an arithmetic number, because the mean of its divisors is an integer number (156060615051).

Almost surely, 2^312121230101 is an apocalyptic number.

It is an amenable number.

312121230101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312121230101 is an equidigital number, since it uses as much as digits as its factorization.

312121230101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312121230101 its reverse (101032121213), we get a palindrome (413153351314).

The spelling of 312121230101 in words is "three hundred twelve billion, one hundred twenty-one million, two hundred thirty thousand, one hundred one".