10001000111001 has 4 divisors (see below), whose sum is σ = 13334666814672. Its totient is φ = 6667333407332.

The previous prime is 10001000110987. The next prime is 10001000111027. The reversal of 10001000111001 is 10011100010001.

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 10001000111001 - 2¹³ = 10001000102809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001000116001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1666833351831 + ... + 1666833351836.

It is an arithmetic number, because the mean of its divisors is an integer number (3333666703668).

Almost surely, 2^{10001000111001} is an apocalyptic number.

It is an amenable number.

10001000111001 is a deficient number, since it is larger than the sum of its proper divisors (3333666703671).

10001000111001 is an equidigital number, since it uses as much as digits as its factorization.

10001000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333666703670.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001000111001 its reverse (10011100010001), we get a palindrome (20012100121002).

The spelling of 10001000111001 in words is "ten trillion, one billion, one hundred eleven thousand, one".