10000102000001 has 2 divisors, whose sum is σ = 10000102000002. Its totient is φ = 10000102000000.

The previous prime is 10000101999949. The next prime is 10000102000013. The reversal of 10000102000001 is 10000020100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6371080810000 + 3629021190001 = 2524100^2 + 1904999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000102000001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000102000901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051000000 + 5000051000001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051000001).

Almost surely, 2^{10000102000001} is an apocalyptic number.

It is an amenable number.

10000102000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102000001 is an equidigital number, since it uses as much as digits as its factorization.

10000102000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000102000001 its reverse (10000020100001), we get a palindrome (20000122100002).

The spelling of 10000102000001 in words is "ten trillion, one hundred two million, one", and thus it is an aban number.