111001111101101 has 8 divisors (see below), whose sum is σ = 119541010185240. Its totient is φ = 102461405170752.

The previous prime is 111001111101053. The next prime is 111001111101107. The reversal of 111001111101101 is 101101111100111.

It can be written as a sum of positive squares in 4 ways, for example, as 985115800900 + 110015995300201 = 992530^2 + 10488851^2 .

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 111001111101101 - 2⁶ = 111001111101037 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 (111001111101107) 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, 47093786 + ... + 49394603.

It is an arithmetic number, because the mean of its divisors is an integer number (14942626273155).

Almost surely, 2^{111001111101101} is an apocalyptic number.

It is an amenable number.

111001111101101 is a deficient number, since it is larger than the sum of its proper divisors (8539899084139).

111001111101101 is an equidigital number, since it uses as much as digits as its factorization.

111001111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96576895.

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

Adding to 111001111101101 its reverse (101101111100111), we get a palindrome (212102222201212).

The spelling of 111001111101101 in words is "one hundred eleven trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred one".