111101001101001 has 48 divisors (see below), whose sum is σ = 169617560486400. Its totient is φ = 69882147028224.

The previous prime is 111101001100909. The next prime is 111101001101009. The reversal of 111101001101001 is 100101100101111.

It is not a de Polignac number, because 111101001101001 - 2¹¹ = 111101001098953 is a prime.

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 (111101001101009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41144455 + ... + 43761491.

It is an arithmetic number, because the mean of its divisors is an integer number (3533699176800).

Almost surely, 2^{111101001101001} is an apocalyptic number.

It is an amenable number.

111101001101001 is a deficient number, since it is larger than the sum of its proper divisors (58516559385399).

111101001101001 is a wasteful number, since it uses less digits than its factorization.

111101001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618078 (or 2618075 counting only the distinct ones).

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

Adding to 111101001101001 its reverse (100101100101111), we get a palindrome (211202101202112).

It can be divided in two parts, 11110100110 and 1001, that added together give a palindrome (11110101111).

The spelling of 111101001101001 in words is "one hundred eleven trillion, one hundred one billion, one million, one hundred one thousand, one".