10001111110001 has 8 divisors (see below), whose sum is σ = 10910651343744. Its totient is φ = 9091628928720.

The previous prime is 10001111109961. The next prime is 10001111110033.

10001111110001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001111110001 - 2³⁴ = 9983931240817 is a prime.

10001111110001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001111112001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14152505 + ... + 14842358.

It is an arithmetic number, because the mean of its divisors is an integer number (1363831417968).

Almost surely, 2^{10001111110001} is an apocalyptic number.

10001111110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001111110001 is a deficient number, since it is larger than the sum of its proper divisors (909540233743).

10001111110001 is a wasteful number, since it uses less digits than its factorization.

10001111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29026231.

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

It can be divided in two parts, 1000111 and 1110001, that multiplied together give a palindrome (1110124210111).

The spelling of 10001111110001 in words is "ten trillion, one billion, one hundred eleven million, one hundred ten thousand, one".