10001011111001 has 4 divisors (see below), whose sum is σ = 10001036324532. Its totient is φ = 10000985897472.

The previous prime is 10001011110967. The next prime is 10001011111019. The reversal of 10001011111001 is 10011111010001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7220291443600 + 2780719667401 = 2687060^2 + 1667549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001011111001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001011111001.

It is not an unprimeable number, because it can be changed into a prime (10001011114001) 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, 12002120 + ... + 12808313.

It is an arithmetic number, because the mean of its divisors is an integer number (2500259081133).

Almost surely, 2^{10001011111001} is an apocalyptic number.

It is an amenable number.

10001011111001 is a deficient number, since it is larger than the sum of its proper divisors (25213531).

10001011111001 is an equidigital number, since it uses as much as digits as its factorization.

10001011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213530.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001011111001 its reverse (10011111010001), we get a palindrome (20012122121002).

The spelling of 10001011111001 in words is "ten trillion, one billion, eleven million, one hundred eleven thousand, one".