10120201222217 has 2 divisors, whose sum is σ = 10120201222218. Its totient is φ = 10120201222216.

The previous prime is 10120201222177. The next prime is 10120201222223. The reversal of 10120201222217 is 71222210202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7274515631161 + 2845685591056 = 2697131^2 + 1686916^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120201222217 - 2³⁸ = 9845323315273 is a prime.

It is a super-2 number, since 2×10120201222217² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120201222192 and 10120201222201.

It is not a weakly prime, because it can be changed into another prime (10120201222717) 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, 5060100611108 + 5060100611109.

It is an arithmetic number, because the mean of its divisors is an integer number (5060100611109).

Almost surely, 2^{10120201222217} is an apocalyptic number.

It is an amenable number.

10120201222217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120201222217 is an equidigital number, since it uses as much as digits as its factorization.

10120201222217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 10120201222217 its reverse (71222210202101), we get a palindrome (81342411424318).

The spelling of 10120201222217 in words is "ten trillion, one hundred twenty billion, two hundred one million, two hundred twenty-two thousand, two hundred seventeen".