1001111100111 has 8 divisors (see below), whose sum is σ = 1483127555760. Its totient is φ = 667407400056.

The previous prime is 1001111100089. The next prime is 1001111100139. The reversal of 1001111100111 is 1110011111001.

It is not a de Polignac number, because 1001111100111 - 2¹⁹ = 1001110575823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001111100093 and 1001111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111100511) 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, 18539094420 + ... + 18539094473.

It is an arithmetic number, because the mean of its divisors is an integer number (185390944470).

Almost surely, 2^{1001111100111} is an apocalyptic number.

1001111100111 is a deficient number, since it is larger than the sum of its proper divisors (482016455649).

1001111100111 is an equidigital number, since it uses as much as digits as its factorization.

1001111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37078188902 (or 37078188896 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1001111100111 its reverse (1110011111001), we get a palindrome (2111122211112).

It can be divided in two parts, 10011111001 and 11, that multiplied together give a palindrome (110122221011).

The spelling of 1001111100111 in words is "one trillion, one billion, one hundred eleven million, one hundred thousand, one hundred eleven".