10005001010001 has 8 divisors (see below), whose sum is σ = 14822223718560. Its totient is φ = 6670000673316.

The previous prime is 10005001009981. The next prime is 10005001010027. The reversal of 10005001010001 is 10001010050001.

It is not a de Polignac number, because 10005001010001 - 2¹⁹ = 10005000485713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10005001010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185277796455 + ... + 185277796508.

It is an arithmetic number, because the mean of its divisors is an integer number (1852777964820).

Almost surely, 2^{10005001010001} is an apocalyptic number.

It is an amenable number.

10005001010001 is a deficient number, since it is larger than the sum of its proper divisors (4817222708559).

10005001010001 is an equidigital number, since it uses as much as digits as its factorization.

10005001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370555592972 (or 370555592966 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 10005001010001 its reverse (10001010050001), we get a palindrome (20006011060002).

The spelling of 10005001010001 in words is "ten trillion, five billion, one million, ten thousand, one".