10010002010201 has 2 divisors, whose sum is σ = 10010002010202. Its totient is φ = 10010002010200.

The previous prime is 10010002010171. The next prime is 10010002010233. The reversal of 10010002010201 is 10201020001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5546500720201 + 4463501290000 = 2355101^2 + 2112700^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010002010201 - 2⁶ = 10010002010137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010002013201) 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, 5005001005100 + 5005001005101.

It is an arithmetic number, because the mean of its divisors is an integer number (5005001005101).

Almost surely, 2^{10010002010201} is an apocalyptic number.

It is an amenable number.

10010002010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010002010201 is an equidigital number, since it uses as much as digits as its factorization.

10010002010201 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 8.

Adding to 10010002010201 its reverse (10201020001001), we get a palindrome (20211022011202).

The spelling of 10010002010201 in words is "ten trillion, ten billion, two million, ten thousand, two hundred one".