10001120013217 has 2 divisors, whose sum is σ = 10001120013218. Its totient is φ = 10001120013216.

The previous prime is 10001120013193. The next prime is 10001120013239. The reversal of 10001120013217 is 71231002110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6033709362321 + 3967410650896 = 2456361^2 + 1991836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120013217 - 2³¹ = 9998972529569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001120013194 and 10001120013203.

It is not a weakly prime, because it can be changed into another prime (10001120011217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560006608 + 5000560006609.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560006609).

Almost surely, 2^{10001120013217} is an apocalyptic number.

It is an amenable number.

10001120013217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120013217 is an equidigital number, since it uses as much as digits as its factorization.

10001120013217 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 19.

Adding to 10001120013217 its reverse (71231002110001), we get a palindrome (81232122123218).

The spelling of 10001120013217 in words is "ten trillion, one billion, one hundred twenty million, thirteen thousand, two hundred seventeen".