1101101111111 has 16 divisors (see below), whose sum is σ = 1143350380800. Its totient is φ = 1059274191360.

The previous prime is 1101101111087. The next prime is 1101101111113. The reversal of 1101101111111 is 1111111011011.

It is a cyclic number.

It is not a de Polignac number, because 1101101111111 - 2³⁴ = 1083921241927 is a prime.

It is a Duffinian number.

1101101111111 is a modest number, since divided by 1111111 gives 110110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1101101111092 and 1101101111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101111113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72677165 + ... + 72692313.

It is an arithmetic number, because the mean of its divisors is an integer number (71459398800).

Almost surely, 2^{1101101111111} is an apocalyptic number.

1101101111111 is a deficient number, since it is larger than the sum of its proper divisors (42249269689).

1101101111111 is a wasteful number, since it uses less digits than its factorization.

1101101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28906.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 1101101111111 its reverse (1111111011011), we get a palindrome (2212212122122).

It can be divided in two parts, 11011011 and 11111, that multiplied together give a palindrome (122343343221).

The spelling of 1101101111111 in words is "one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred eleven".