100111200100217 has 2 divisors, whose sum is σ = 100111200100218. Its totient is φ = 100111200100216.

The previous prime is 100111200100157. The next prime is 100111200100297. The reversal of 100111200100217 is 712001002111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88813830443881 + 11297369656336 = 9424109^2 + 3361156^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111200100217 - 2³⁴ = 100094020231033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111200100195 and 100111200100204.

It is not a weakly prime, because it can be changed into another prime (100111200100297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055600050108 + 50055600050109.

It is an arithmetic number, because the mean of its divisors is an integer number (50055600050109).

Almost surely, 2^{100111200100217} is an apocalyptic number.

It is an amenable number.

100111200100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111200100217 is an equidigital number, since it uses as much as digits as its factorization.

100111200100217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 100111200100217 its reverse (712001002111001), we get a palindrome (812112202211218).

The spelling of 100111200100217 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one hundred thousand, two hundred seventeen".