10102022121017 has 2 divisors, whose sum is σ = 10102022121018. Its totient is φ = 10102022121016.

The previous prime is 10102022121011. The next prime is 10102022121083. The reversal of 10102022121017 is 71012122020101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6570219803536 + 3531802317481 = 2563244^2 + 1879309^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102022121017 - 2⁸ = 10102022120761 is a prime.

It is a super-2 number, since 2×10102022121017² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10102022121017.

It is not a weakly prime, because it can be changed into another prime (10102022121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051011060508 + 5051011060509.

It is an arithmetic number, because the mean of its divisors is an integer number (5051011060509).

Almost surely, 2^{10102022121017} is an apocalyptic number.

It is an amenable number.

10102022121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102022121017 is an equidigital number, since it uses as much as digits as its factorization.

10102022121017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 10102022121017 its reverse (71012122020101), we get a palindrome (81114144141118).

The spelling of 10102022121017 in words is "ten trillion, one hundred two billion, twenty-two million, one hundred twenty-one thousand, seventeen".