101012310002321 has 2 divisors, whose sum is σ = 101012310002322. Its totient is φ = 101012310002320.

The previous prime is 101012310002299. The next prime is 101012310002339. The reversal of 101012310002321 is 123200013210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69410643003025 + 31601666999296 = 8331305^2 + 5621536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012310002321 is a prime.

It is a super-3 number, since 3×101012310002321³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012310002321.

It is not a weakly prime, because it can be changed into another prime (101012310004321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506155001160 + 50506155001161.

It is an arithmetic number, because the mean of its divisors is an integer number (50506155001161).

Almost surely, 2^{101012310002321} is an apocalyptic number.

It is an amenable number.

101012310002321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012310002321 is an equidigital number, since it uses as much as digits as its factorization.

101012310002321 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 101012310002321 its reverse (123200013210101), we get a palindrome (224212323212422).

The spelling of 101012310002321 in words is "one hundred one trillion, twelve billion, three hundred ten million, two thousand, three hundred twenty-one".