111111100101101 has 4 divisors (see below), whose sum is σ = 111137854523772. Its totient is φ = 111084345678432.

The previous prime is 111111100101049. The next prime is 111111100101173. The reversal of 111111100101101 is 101101001111111.

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 30497188925476 + 80613911175625 = 5522426^2 + 8978525^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111100101101 - 2²⁶ = 111111032992237 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 (111111100101181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13377205106 + ... + 13377213411.

It is an arithmetic number, because the mean of its divisors is an integer number (27784463630943).

Almost surely, 2^{111111100101101} is an apocalyptic number.

It is an amenable number.

111111100101101 is a deficient number, since it is larger than the sum of its proper divisors (26754422671).

111111100101101 is an equidigital number, since it uses as much as digits as its factorization.

111111100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26754422670.

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

Adding to 111111100101101 its reverse (101101001111111), we get a palindrome (212212101212212).

It can be divided in two parts, 11111110010 and 1101, that added together give a palindrome (11111111111).

The spelling of 111111100101101 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred one".