10220109995617 has 2 divisors, whose sum is σ = 10220109995618. Its totient is φ = 10220109995616.

The previous prime is 10220109995561. The next prime is 10220109995663. The reversal of 10220109995617 is 71659990102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7748451228816 + 2471658766801 = 2783604^2 + 1572151^2 .

It is an emirp because it is prime and its reverse (71659990102201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10220109995617 - 2⁷ = 10220109995489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220109995687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110054997808 + 5110054997809.

It is an arithmetic number, because the mean of its divisors is an integer number (5110054997809).

Almost surely, 2^{10220109995617} is an apocalyptic number.

It is an amenable number.

10220109995617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220109995617 is an equidigital number, since it uses as much as digits as its factorization.

10220109995617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 612360, while the sum is 52.

The spelling of 10220109995617 in words is "ten trillion, two hundred twenty billion, one hundred nine million, nine hundred ninety-five thousand, six hundred seventeen".