10211220220217 has 2 divisors, whose sum is σ = 10211220220218. Its totient is φ = 10211220220216.

The previous prime is 10211220220193. The next prime is 10211220220241. The reversal of 10211220220217 is 71202202211201.

10211220220217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10211220220193) and next prime (10211220220241).

It can be written as a sum of positive squares in only one way, i.e., 9236608994041 + 974611226176 = 3039179^2 + 987224^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211220220217 - 2⁸ = 10211220219961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211220220192 and 10211220220201.

It is not a weakly prime, because it can be changed into another prime (10211220220417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105610110108 + 5105610110109.

It is an arithmetic number, because the mean of its divisors is an integer number (5105610110109).

Almost surely, 2^{10211220220217} is an apocalyptic number.

It is an amenable number.

10211220220217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211220220217 is an equidigital number, since it uses as much as digits as its factorization.

10211220220217 is an evil number, because the sum of its binary digits is even.

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

Adding to 10211220220217 its reverse (71202202211201), we get a palindrome (81413422431418).

The spelling of 10211220220217 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty thousand, two hundred seventeen".