101210312321 has 2 divisors, whose sum is σ = 101210312322. Its totient is φ = 101210312320.

The previous prime is 101210312233. The next prime is 101210312327. The reversal of 101210312321 is 123213012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98369422321 + 2840890000 = 313639^2 + 53300^2 .

It is an emirp because it is prime and its reverse (123213012101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101210312321 - 2¹⁰ = 101210311297 is a prime.

It is a super-2 number, since 2×101210312321² (a number of 23 digits) contains 22 as substring.

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 101210312321.

It is not a weakly prime, because it can be changed into another prime (101210312327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605156160 + 50605156161.

It is an arithmetic number, because the mean of its divisors is an integer number (50605156161).

Almost surely, 2^101210312321 is an apocalyptic number.

It is an amenable number.

101210312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210312321 is an equidigital number, since it uses as much as digits as its factorization.

101210312321 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 101210312321 its reverse (123213012101), we get a palindrome (224423324422).

The spelling of 101210312321 in words is "one hundred one billion, two hundred ten million, three hundred twelve thousand, three hundred twenty-one".