1101001111011 has 6 divisors (see below), whose sum is σ = 1590334938140. Its totient is φ = 734000740668.

The previous prime is 1101001111003. The next prime is 1101001111033. The reversal of 1101001111011 is 1101111001011.

It is not a de Polignac number, because 1101001111011 - 2³ = 1101001111003 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: 122333456779 = 1101001111011 / (1 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 0 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101001110984 and 1101001111002.

It is not an unprimeable number, because it can be changed into a prime (1101001111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61166728381 + ... + 61166728398.

Almost surely, 2^{1101001111011} is an apocalyptic number.

1101001111011 is a deficient number, since it is larger than the sum of its proper divisors (489333827129).

1101001111011 is a wasteful number, since it uses less digits than its factorization.

1101001111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122333456785 (or 122333456782 counting only the distinct ones).

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

Adding to 1101001111011 its reverse (1101111001011), we get a palindrome (2202112112022).

The spelling of 1101001111011 in words is "one trillion, one hundred one billion, one million, one hundred eleven thousand, eleven".