1100001101111 has 24 divisors (see below), whose sum is σ = 1230679736832. Its totient is φ = 982302552000.

The previous prime is 1100001101077. The next prime is 1100001101117. The reversal of 1100001101111 is 1111011000011.

It is not a de Polignac number, because 1100001101111 - 2²⁶ = 1099933992247 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 (1100001101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197701 + ... + 1906433.

It is an arithmetic number, because the mean of its divisors is an integer number (51278322368).

Almost surely, 2^{1100001101111} is an apocalyptic number.

1100001101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100001101111 is a deficient number, since it is larger than the sum of its proper divisors (130678635721).

1100001101111 is a wasteful number, since it uses less digits than its factorization.

1100001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708983 (or 708972 counting only the distinct ones).

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

Adding to 1100001101111 its reverse (1111011000011), we get a palindrome (2211012101122).

The spelling of 1100001101111 in words is "one trillion, one hundred billion, one million, one hundred one thousand, one hundred eleven".