1101101101111 has 8 divisors (see below), whose sum is σ = 1201212386064. Its totient is φ = 1000991680320.

The previous prime is 1101101101099. The next prime is 1101101101147. The reversal of 1101101101111 is 1111011011011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1101101101111 - 2²⁵ = 1101067546679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101101151) 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, 958275 + ... + 1766491.

It is an arithmetic number, because the mean of its divisors is an integer number (150151548258).

Almost surely, 2^{1101101101111} is an apocalyptic number.

1101101101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101101101111 is a deficient number, since it is larger than the sum of its proper divisors (100111284953).

1101101101111 is a wasteful number, since it uses less digits than its factorization.

1101101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932081.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1101101101111 its reverse (1111011011011), we get a palindrome (2212112112122).

It can be divided in two parts, 11011011011 and 11, that multiplied together give a palindrome (121121121121).

The spelling of 1101101101111 in words is "one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred eleven".