10000010201 has 2 divisors, whose sum is σ = 10000010202. Its totient is φ = 10000010200.

The previous prime is 10000010177. The next prime is 10000010203. The reversal of 10000010201 is 10201000001.

It is a happy number.

10000010201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000000000 + 10201 = 100000^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000010201 - 2¹⁰ = 10000009177 is a prime.

Together with 10000010203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10000010203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005100 + 5000005101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005101).

Almost surely, 2^10000010201 is an apocalyptic number.

It is an amenable number.

10000010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010201 is an equidigital number, since it uses as much as digits as its factorization.

10000010201 is an evil number, because the sum of its binary digits is even.

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

Adding to 10000010201 its reverse (10201000001), we get a palindrome (20201010202).

The spelling of 10000010201 in words is "ten billion, ten thousand, two hundred one".