10221102022217 has 2 divisors, whose sum is σ = 10221102022218. Its totient is φ = 10221102022216.

The previous prime is 10221102022189. The next prime is 10221102022321. The reversal of 10221102022217 is 71222020112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7822627234816 + 2398474787401 = 2796896^2 + 1548701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221102022217 - 2⁸ = 10221102021961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221102022192 and 10221102022201.

It is not a weakly prime, because it can be changed into another prime (10221102027217) 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, 5110551011108 + 5110551011109.

It is an arithmetic number, because the mean of its divisors is an integer number (5110551011109).

Almost surely, 2^{10221102022217} is an apocalyptic number.

It is an amenable number.

10221102022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221102022217 is an equidigital number, since it uses as much as digits as its factorization.

10221102022217 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 10221102022217 its reverse (71222020112201), we get a palindrome (81443122134418).

The spelling of 10221102022217 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, twenty-two thousand, two hundred seventeen".