1001001111111 has 6 divisors (see below), whose sum is σ = 1445890493840. Its totient is φ = 667334074068.

The previous prime is 1001001111073. The next prime is 1001001111179. The reversal of 1001001111111 is 1111111001001.

It is not a de Polignac number, because 1001001111111 - 2¹¹ = 1001001109063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111222345679 = 1001001111111 / (1 + 0 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 1).

It is a Duffinian number.

1001001111111 is a modest number, since divided by 1111111 gives 100100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1001001111093 and 1001001111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001111611) 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 5 ways as a sum of consecutive naturals, for example, 55611172831 + ... + 55611172848.

Almost surely, 2^{1001001111111} is an apocalyptic number.

1001001111111 is a deficient number, since it is larger than the sum of its proper divisors (444889382729).

1001001111111 is a wasteful number, since it uses less digits than its factorization.

1001001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111222345685 (or 111222345682 counting only the distinct ones).

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

Adding to 1001001111111 its reverse (1111111001001), we get a palindrome (2112112112112).

It can be divided in two parts, 1001001 and 111111, that multiplied together give a palindrome (111222222111).

The spelling of 1001001111111 in words is "one trillion, one billion, one million, one hundred eleven thousand, one hundred eleven".