1111111110001 has 16 divisors (see below), whose sum is σ = 1171152027648. Its totient is φ = 1052797651200.

The previous prime is 1111111109987. The next prime is 1111111110007. The reversal of 1111111110001 is 1000111111111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1111111110001 - 2¹⁹ = 1111110585713 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 1111111110001.

It is not an unprimeable number, because it can be changed into a prime (1111111110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481905 + ... + 2101966.

It is an arithmetic number, because the mean of its divisors is an integer number (73197001728).

Almost surely, 2^{1111111110001} is an apocalyptic number.

It is an amenable number.

1111111110001 is a deficient number, since it is larger than the sum of its proper divisors (60040917647).

1111111110001 is a wasteful number, since it uses less digits than its factorization.

1111111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584112.

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

Adding to 1111111110001 its reverse (1000111111111), we get a palindrome (2111222221112).

It can be divided in two parts, 11111111 and 10001, that multiplied together give a palindrome (111122221111).

The spelling of 1111111110001 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one".