10000102002001 has 2 divisors, whose sum is σ = 10000102002002. Its totient is φ = 10000102002000.

The previous prime is 10000102001971. The next prime is 10000102002073. The reversal of 10000102002001 is 10020020100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8074804224400 + 1925297777601 = 2841620^2 + 1387551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000102002001 - 2⁵ = 10000102001969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000102002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051001000 + 5000051001001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051001001).

Almost surely, 2^{10000102002001} is an apocalyptic number.

It is an amenable number.

10000102002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102002001 is an equidigital number, since it uses as much as digits as its factorization.

10000102002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000102002001 its reverse (10020020100001), we get a palindrome (20020122102002).

The spelling of 10000102002001 in words is "ten trillion, one hundred two million, two thousand, one".