10001020201 has 2 divisors, whose sum is σ = 10001020202. Its totient is φ = 10001020200.

The previous prime is 10001020199. The next prime is 10001020213. The reversal of 10001020201 is 10202010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8374995225 + 1626024976 = 91515^2 + 40324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001020201 - 2¹ = 10001020199 is a prime.

Together with 10001020199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10001020501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000510100 + 5000510101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000510101).

Almost surely, 2^10001020201 is an apocalyptic number.

It is an amenable number.

10001020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001020201 is an equidigital number, since it uses as much as digits as its factorization.

10001020201 is an evil number, because the sum of its binary digits is even.

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

Adding to 10001020201 its reverse (10202010001), we get a palindrome (20203030202).

It can be divided in two parts, 1000 and 1020201, that added together give a palindrome (1021201).

The spelling of 10001020201 in words is "ten billion, one million, twenty thousand, two hundred one".