10002020101517 has 2 divisors, whose sum is σ = 10002020101518. Its totient is φ = 10002020101516.

The previous prime is 10002020101501. The next prime is 10002020101583. The reversal of 10002020101517 is 71510102020001.

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., 7689412534441 + 2312607567076 = 2772979^2 + 1520726^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002020101517 - 2⁴ = 10002020101501 is a prime.

It is a super-2 number, since 2×10002020101517² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002020121517) 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, 5001010050758 + 5001010050759.

It is an arithmetic number, because the mean of its divisors is an integer number (5001010050759).

Almost surely, 2^{10002020101517} is an apocalyptic number.

It is an amenable number.

10002020101517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002020101517 is an equidigital number, since it uses as much as digits as its factorization.

10002020101517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 10002020101517 its reverse (71510102020001), we get a palindrome (81512122121518).

The spelling of 10002020101517 in words is "ten trillion, two billion, twenty million, one hundred one thousand, five hundred seventeen".