10100012002217 has 2 divisors, whose sum is σ = 10100012002218. Its totient is φ = 10100012002216.

The previous prime is 10100012002183. The next prime is 10100012002277. The reversal of 10100012002217 is 71220021000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9912491824921 + 187520177296 = 3148411^2 + 433036^2 .

It is an emirp because it is prime and its reverse (71220021000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100012002217 - 2²² = 10100007807913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100012002195 and 10100012002204.

It is not a weakly prime, because it can be changed into another prime (10100012002277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050006001108 + 5050006001109.

It is an arithmetic number, because the mean of its divisors is an integer number (5050006001109).

Almost surely, 2^{10100012002217} is an apocalyptic number.

It is an amenable number.

10100012002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100012002217 is an equidigital number, since it uses as much as digits as its factorization.

10100012002217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10100012002217 its reverse (71220021000101), we get a palindrome (81320033002318).

The spelling of 10100012002217 in words is "ten trillion, one hundred billion, twelve million, two thousand, two hundred seventeen".