10100000001001 has 4 divisors (see below), whose sum is σ = 10179527560192. Its totient is φ = 10020472441812.

The previous prime is 10100000000941. The next prime is 10100000001071. The reversal of 10100000001001 is 10010000000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100000001001 - 2⁷ = 10100000000873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100000001071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39763779405 + ... + 39763779658.

It is an arithmetic number, because the mean of its divisors is an integer number (2544881890048).

Almost surely, 2^{10100000001001} is an apocalyptic number.

It is an amenable number.

10100000001001 is a deficient number, since it is larger than the sum of its proper divisors (79527559191).

10100000001001 is an equidigital number, since it uses as much as digits as its factorization.

10100000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79527559190.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100000001001 its reverse (10010000000101), we get a palindrome (20110000001102).

It can be divided in two parts, 1010000000100 and 1, that added together give a palindrome (1010000000101).

The spelling of 10100000001001 in words is "ten trillion, one hundred billion, one thousand, one".