1100111100011 has 48 divisors (see below), whose sum is σ = 1403271773280. Its totient is φ = 852807352320.

The previous prime is 1100111100007. The next prime is 1100111100031. The reversal of 1100111100011 is 1100011110011.

It is not a de Polignac number, because 1100111100011 - 2² = 1100111100007 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1100111100031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176948975 + ... + 176955191.

It is an arithmetic number, because the mean of its divisors is an integer number (29234828610).

Almost surely, 2^{1100111100011} is an apocalyptic number.

1100111100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100111100011 is a deficient number, since it is larger than the sum of its proper divisors (303160673269).

1100111100011 is a wasteful number, since it uses less digits than its factorization.

1100111100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1100111100011 its reverse (1100011110011), we get a palindrome (2200122210022).

It can be divided in two parts, 110011 and 1100011, that multiplied together give a palindrome (121013310121).

The spelling of 1100111100011 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred thousand, eleven".