11101001000111 has 8 divisors (see below), whose sum is σ = 12151514595024. Its totient is φ = 10057376019520.

The previous prime is 11101001000101. The next prime is 11101001000113. The reversal of 11101001000111 is 11100010010111.

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 11101001000111 - 2³⁸ = 10826123093167 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 (11101001000113) 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, 1722150206 + ... + 1722156651.

It is an arithmetic number, because the mean of its divisors is an integer number (1518939324378).

Almost surely, 2^{11101001000111} is an apocalyptic number.

11101001000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101001000111 is a deficient number, since it is larger than the sum of its proper divisors (1050513594913).

11101001000111 is a wasteful number, since it uses less digits than its factorization.

11101001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444307161.

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

Adding to 11101001000111 its reverse (11100010010111), we get a palindrome (22201011010222).

The spelling of 11101001000111 in words is "eleven trillion, one hundred one billion, one million, one hundred eleven", and thus it is an aban number.