111100110101001 has 24 divisors (see below), whose sum is σ = 184170734442240. Its totient is φ = 63220146325056.

The previous prime is 111100110100927. The next prime is 111100110101081. The reversal of 111100110101001 is 100101011001111.

It is not a de Polignac number, because 111100110101001 - 2⁹ = 111100110100489 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 (111100110101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3689302540 + ... + 3689332653.

It is an arithmetic number, because the mean of its divisors is an integer number (7673780601760).

Almost surely, 2^{111100110101001} is an apocalyptic number.

It is an amenable number.

111100110101001 is a deficient number, since it is larger than the sum of its proper divisors (73070624341239).

111100110101001 is a wasteful number, since it uses less digits than its factorization.

111100110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378635445 (or 7378635442 counting only the distinct ones).

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

Adding to 111100110101001 its reverse (100101011001111), we get a palindrome (211201121102112).

The spelling of 111100110101001 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred one thousand, one".