10001300010201 has 6 divisors (see below), whose sum is σ = 14446322236970. Its totient is φ = 6667533340128.

The previous prime is 10001300010173. The next prime is 10001300010209. The reversal of 10001300010201 is 10201000310001.

It can be written as a sum of positive squares in only one way, i.e., 9962078188176 + 39221822025 = 3156276^2 + 198045^2 .

It is not a de Polignac number, because 10001300010201 - 2⁶ = 10001300010137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111255556689 = 10001300010201 / (1 + 0 + 0 + 0 + 1 + 3 + 0 + 0 + 0 + 1 + 0 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001300010209) 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, 555627778336 + ... + 555627778353.

Almost surely, 2^{10001300010201} is an apocalyptic number.

It is an amenable number.

10001300010201 is a deficient number, since it is larger than the sum of its proper divisors (4445022226769).

10001300010201 is a wasteful number, since it uses less digits than its factorization.

10001300010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111255556695 (or 1111255556692 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001300010201 its reverse (10201000310001), we get a palindrome (20202300320202).

The spelling of 10001300010201 in words is "ten trillion, one billion, three hundred million, ten thousand, two hundred one".