1100111101001 has 24 divisors (see below), whose sum is σ = 1248395898624. Its totient is φ = 967703220000.

The previous prime is 1100111100961. The next prime is 1100111101021. The reversal of 1100111101001 is 1001011110011.

It is a de Polignac number, because none of the positive numbers 2^k-1100111101001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100111101001.

It is not an unprimeable number, because it can be changed into a prime (1100111101021) 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, 34084211 + ... + 34116471.

It is an arithmetic number, because the mean of its divisors is an integer number (52016495776).

Almost surely, 2^{1100111101001} is an apocalyptic number.

1100111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100111101001 is a deficient number, since it is larger than the sum of its proper divisors (148284797623).

1100111101001 is a wasteful number, since it uses less digits than its factorization.

1100111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41405 (or 41394 counting only the distinct ones).

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

Adding to 1100111101001 its reverse (1001011110011), we get a palindrome (2101122211012).

The spelling of 1100111101001 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one".