111111100101001 has 96 divisors (see below), whose sum is σ = 152889044870016. Its totient is φ = 79373395584000.

The previous prime is 111111100100993. The next prime is 111111100101013. The reversal of 111111100101001 is 100101001111111.

It is a happy number.

It is not a de Polignac number, because 111111100101001 - 2³ = 111111100100993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111111100101301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965093626 + ... + 965208748.

It is an arithmetic number, because the mean of its divisors is an integer number (1592594217396).

Almost surely, 2^{111111100101001} is an apocalyptic number.

111111100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111111100101001 is a deficient number, since it is larger than the sum of its proper divisors (41777944769015).

111111100101001 is a wasteful number, since it uses less digits than its factorization.

111111100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116103 (or 116096 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 111111100101001 its reverse (100101001111111), we get a palindrome (211212101212112).

It can be divided in two parts, 111111 and 100101001, that multiplied together give a palindrome (11122322322111).

The spelling of 111111100101001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one".