111101101101101 has 4 divisors (see below), whose sum is σ = 111514116347100. Its totient is φ = 110688085855104.

The previous prime is 111101101101017. The next prime is 111101101101149. The reversal of 111101101101101 is 101101101101111.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 63611774538601 + 47489326562500 = 7975699^2 + 6891250^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101101101101 - 2¹⁴ = 111101101084717 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 (111101101101901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206507622596 + ... + 206507623133.

It is an arithmetic number, because the mean of its divisors is an integer number (27878529086775).

Almost surely, 2^{111101101101101} is an apocalyptic number.

It is an amenable number.

111101101101101 is a deficient number, since it is larger than the sum of its proper divisors (413015245999).

111101101101101 is an equidigital number, since it uses as much as digits as its factorization.

111101101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413015245998.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111101101101101 its reverse (101101101101111), we get a palindrome (212202202202212).

It can be divided in two parts, 111 and 101101101101, that multiplied together give a palindrome (11222222222211).

The spelling of 111101101101101 in words is "one hundred eleven trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred one".