111100101101001 has 24 divisors (see below), whose sum is σ = 161669645584200. Its totient is φ = 73516844756736.

The previous prime is 111100101100987. The next prime is 111100101101009. The reversal of 111100101101001 is 100101101001111.

It can be written as a sum of positive squares in 4 ways, for example, as 8896493324601 + 102203607776400 = 2982699^2 + 10109580^2 .

It is not a de Polignac number, because 111100101101001 - 2³³ = 111091511166409 is a prime.

It is a super-2 number, since 2×111100101101001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (111100101101009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4133391 + ... + 15468843.

It is an arithmetic number, because the mean of its divisors is an integer number (6736235232675).

Almost surely, 2^{111100101101001} is an apocalyptic number.

It is an amenable number.

111100101101001 is a deficient number, since it is larger than the sum of its proper divisors (50569544483199).

111100101101001 is a wasteful number, since it uses less digits than its factorization.

111100101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11343545 (or 11343542 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111100101101001 its reverse (100101101001111), we get a palindrome (211201202102112).

It can be divided in two parts, 111100 and 101101001, that added together give a palindrome (101212101).

The spelling of 111100101101001 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one hundred one thousand, one".