1100111110111 has 32 divisors (see below), whose sum is σ = 1213901256960. Its totient is φ = 990837909504.

The previous prime is 1100111110099. The next prime is 1100111110123. The reversal of 1100111110111 is 1110111110011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100111110099) and next prime (1100111110123).

It is not a de Polignac number, because 1100111110111 - 2¹⁵ = 1100111077343 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 (1100111110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38079370 + ... + 38108248.

It is an arithmetic number, because the mean of its divisors is an integer number (37934414280).

Almost surely, 2^{1100111110111} is an apocalyptic number.

1100111110111 is a deficient number, since it is larger than the sum of its proper divisors (113790146849).

1100111110111 is a wasteful number, since it uses less digits than its factorization.

1100111110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29395.

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

Adding to 1100111110111 its reverse (1110111110011), we get a palindrome (2210222220122).

It can be divided in two parts, 110011 and 1110111, that multiplied together give a palindrome (122124421221).

The spelling of 1100111110111 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".