111111101111101 has 32 divisors (see below), whose sum is σ = 139940078905088. Its totient is φ = 85862904906240.

The previous prime is 111111101111063. The next prime is 111111101111117. The reversal of 111111101111101 is 101111101111111.

It is a happy number.

It is not a de Polignac number, because 111111101111101 - 2¹⁹ = 111111100586813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111101111701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71453011 + ... + 72991471.

It is an arithmetic number, because the mean of its divisors is an integer number (4373127465784).

Almost surely, 2^{111111101111101} is an apocalyptic number.

It is an amenable number.

111111101111101 is a deficient number, since it is larger than the sum of its proper divisors (28828977793987).

111111101111101 is a wasteful number, since it uses less digits than its factorization.

111111101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556981.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 111111101111101 its reverse (101111101111111), we get a palindrome (212222202222212).

It can be divided in two parts, 111111 and 101111101, that multiplied together give a palindrome (11234555543211).

The spelling of 111111101111101 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred one".