10002102017 has 2 divisors, whose sum is σ = 10002102018. Its totient is φ = 10002102016.

The previous prime is 10002101983. The next prime is 10002102053. The reversal of 10002102017 is 71020120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9002024641 + 1000077376 = 94879^2 + 31624^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002102017 - 2¹⁰ = 10002100993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002101992 and 10002102010.

It is not a weakly prime, because it can be changed into another prime (10002102317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051008 + 5001051009.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051009).

Almost surely, 2^10002102017 is an apocalyptic number.

It is an amenable number.

10002102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102017 is an equidigital number, since it uses as much as digits as its factorization.

10002102017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 10002102017 its reverse (71020120001), we get a palindrome (81022222018).

The spelling of 10002102017 in words is "ten billion, two million, one hundred two thousand, seventeen".