10000001100217 has 2 divisors, whose sum is σ = 10000001100218. Its totient is φ = 10000001100216.

The previous prime is 10000001100209. The next prime is 10000001100227. The reversal of 10000001100217 is 71200110000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9525550149801 + 474450950416 = 3086349^2 + 688804^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001100217 - 2³ = 10000001100209 is a prime.

It is a super-3 number, since 3×10000001100217³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000001100197 and 10000001100206.

It is not a weakly prime, because it can be changed into another prime (10000001100227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000550108 + 5000000550109.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000550109).

Almost surely, 2^{10000001100217} is an apocalyptic number.

It is an amenable number.

10000001100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001100217 is an equidigital number, since it uses as much as digits as its factorization.

10000001100217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10000001100217 its reverse (71200110000001), we get a palindrome (81200111100218).

The spelling of 10000001100217 in words is "ten trillion, one million, one hundred thousand, two hundred seventeen".