10111111110001 has 4 divisors (see below), whose sum is σ = 11030303029104. Its totient is φ = 9191919190900.

The previous prime is 10111111109941. The next prime is 10111111110007. The reversal of 10111111110001 is 10001111111101.

It is a happy number.

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 10111111110001 - 2²⁷ = 10110976892273 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 10111111110001.

It is not an unprimeable number, because it can be changed into a prime (10111111110007) 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 3 ways as a sum of consecutive naturals, for example, 459595959535 + ... + 459595959556.

It is an arithmetic number, because the mean of its divisors is an integer number (2757575757276).

Almost surely, 2^{10111111110001} is an apocalyptic number.

10111111110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111111110001 is a deficient number, since it is larger than the sum of its proper divisors (919191919103).

10111111110001 is an equidigital number, since it uses as much as digits as its factorization.

10111111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919191919102.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111111110001 its reverse (10001111111101), we get a palindrome (20112222221102).

The spelling of 10111111110001 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one".