111111001011001 has 8 divisors (see below), whose sum is σ = 112214460040200. Its totient is φ = 110007607670400.

The previous prime is 111111001010923. The next prime is 111111001011013. The reversal of 111111001011001 is 100110100111111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59887493167401 + 51223507843600 = 7738701^2 + 7157060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111111001011001 - 2²³ = 111110992622393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111001011071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13018906 + ... + 19791763.

It is an arithmetic number, because the mean of its divisors is an integer number (14026807505025).

Almost surely, 2^{111111001011001} is an apocalyptic number.

It is an amenable number.

111111001011001 is a deficient number, since it is larger than the sum of its proper divisors (1103459029199).

111111001011001 is a wasteful number, since it uses less digits than its factorization.

111111001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32844299.

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

Adding to 111111001011001 its reverse (100110100111111), we get a palindrome (211221101122112).

The spelling of 111111001011001 in words is "one hundred eleven trillion, one hundred eleven billion, one million, eleven thousand, one".