2010010000201 has 6 divisors (see below), whose sum is σ = 2338174898250. Its totient is φ = 1722865714416.

The previous prime is 2010010000129. The next prime is 2010010000253. The reversal of 2010010000201 is 1020000100102.

It can be written as a sum of positive squares in only one way, i.e., 1549377667600 + 460632332601 = 1244740^2 + 678699^2 .

It is not a de Polignac number, because 2010010000201 - 2⁷ = 2010010000073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010010004201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20510306076 + ... + 20510306173.

It is an arithmetic number, because the mean of its divisors is an integer number (389695816375).

Almost surely, 2^{2010010000201} is an apocalyptic number.

It is an amenable number.

2010010000201 is a deficient number, since it is larger than the sum of its proper divisors (328164898049).

2010010000201 is an equidigital number, since it uses as much as digits as its factorization.

2010010000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41020612263 (or 41020612256 counting only the distinct ones).

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

Adding to 2010010000201 its reverse (1020000100102), we get a palindrome (3030010100303).

Subtracting from 2010010000201 its reverse (1020000100102), we obtain a palindrome (990009900099).

The spelling of 2010010000201 in words is "two trillion, ten billion, ten million, two hundred one", and thus it is an aban number.