10202121110017 has 2 divisors, whose sum is σ = 10202121110018. Its totient is φ = 10202121110016.

The previous prime is 10202121109993. The next prime is 10202121110057. The reversal of 10202121110017 is 71001112120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10042060304241 + 160060805776 = 3168921^2 + 400076^2 .

It is an emirp because it is prime and its reverse (71001112120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202121110017 - 2⁷ = 10202121109889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202121109976 and 10202121110003.

It is not a weakly prime, because it can be changed into another prime (10202121110057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101060555008 + 5101060555009.

It is an arithmetic number, because the mean of its divisors is an integer number (5101060555009).

Almost surely, 2^{10202121110017} is an apocalyptic number.

It is an amenable number.

10202121110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202121110017 is an equidigital number, since it uses as much as digits as its factorization.

10202121110017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10202121110017 its reverse (71001112120201), we get a palindrome (81203233230218).

The spelling of 10202121110017 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand, seventeen".