1101111011001 has 24 divisors (see below), whose sum is σ = 1594159688576. Its totient is φ = 732382469280.

The previous prime is 1101111010999. The next prime is 1101111011047. The reversal of 1101111011001 is 1001101111011.

It is not a de Polignac number, because 1101111011001 - 2¹ = 1101111010999 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1101111016001) 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 23 ways as a sum of consecutive naturals, for example, 37667571 + ... + 37696791.

Almost surely, 2^{1101111011001} is an apocalyptic number.

It is an amenable number.

1101111011001 is a deficient number, since it is larger than the sum of its proper divisors (493048677575).

1101111011001 is a wasteful number, since it uses less digits than its factorization.

1101111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38733 (or 38730 counting only the distinct ones).

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

Adding to 1101111011001 its reverse (1001101111011), we get a palindrome (2102212122012).

The spelling of 1101111011001 in words is "one trillion, one hundred one billion, one hundred eleven million, eleven thousand, one".