10100321101217 has 2 divisors, whose sum is σ = 10100321101218. Its totient is φ = 10100321101216.

The previous prime is 10100321101207. The next prime is 10100321101219. The reversal of 10100321101217 is 71210112300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8824797070336 + 1275524030881 = 2970656^2 + 1129391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100321101217 is a prime.

Together with 10100321101219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100321101219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050160550608 + 5050160550609.

It is an arithmetic number, because the mean of its divisors is an integer number (5050160550609).

Almost surely, 2^{10100321101217} is an apocalyptic number.

It is an amenable number.

10100321101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100321101217 is an equidigital number, since it uses as much as digits as its factorization.

10100321101217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 10100321101217 its reverse (71210112300101), we get a palindrome (81310433401318).

The spelling of 10100321101217 in words is "ten trillion, one hundred billion, three hundred twenty-one million, one hundred one thousand, two hundred seventeen".