11001101101111 has 16 divisors (see below), whose sum is σ = 12707260397568. Its totient is φ = 9412628169600.

The previous prime is 11001101101093. The next prime is 11001101101117. The reversal of 11001101101111 is 11110110110011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11001101101111 - 2¹¹ = 11001101099063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001101101117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38372266 + ... + 38657896.

It is an arithmetic number, because the mean of its divisors is an integer number (794203774848).

Almost surely, 2^{11001101101111} is an apocalyptic number.

11001101101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001101101111 is a deficient number, since it is larger than the sum of its proper divisors (1706159296457).

11001101101111 is a wasteful number, since it uses less digits than its factorization.

11001101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491622.

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

Adding to 11001101101111 its reverse (11110110110011), we get a palindrome (22111211211122).

The spelling of 11001101101111 in words is "eleven trillion, one billion, one hundred one million, one hundred one thousand, one hundred eleven".