121100002000217 has 2 divisors, whose sum is σ = 121100002000218. Its totient is φ = 121100002000216.

The previous prime is 121100002000193. The next prime is 121100002000301. The reversal of 121100002000217 is 712000200001121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86013085656976 + 35086916343241 = 9274324^2 + 5923421^2 .

It is a cyclic number.

It is not a de Polignac number, because 121100002000217 - 2²⁴ = 121099985223001 is a prime.

It is a super-2 number, since 2×121100002000217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100002000195 and 121100002000204.

It is not a weakly prime, because it can be changed into another prime (121100002090217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550001000108 + 60550001000109.

It is an arithmetic number, because the mean of its divisors is an integer number (60550001000109).

Almost surely, 2^{121100002000217} is an apocalyptic number.

It is an amenable number.

121100002000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100002000217 is an equidigital number, since it uses as much as digits as its factorization.

121100002000217 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 121100002000217 its reverse (712000200001121), we get a palindrome (833100202001338).

The spelling of 121100002000217 in words is "one hundred twenty-one trillion, one hundred billion, two million, two hundred seventeen", and thus it is an aban number.