111010001011001 has 16 divisors (see below), whose sum is σ = 116985448679040. Its totient is φ = 105130333651200.

The previous prime is 111010001010989. The next prime is 111010001011003. The reversal of 111010001011001 is 100110100010111.

It is a cyclic number.

It is not a de Polignac number, because 111010001011001 - 2¹⁰ = 111010001009977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111010001011001.

It is not an unprimeable number, because it can be changed into a prime (111010001011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144392945 + ... + 145159713.

It is an arithmetic number, because the mean of its divisors is an integer number (7311590542440).

Almost surely, 2^{111010001011001} is an apocalyptic number.

It is an amenable number.

111010001011001 is a deficient number, since it is larger than the sum of its proper divisors (5975447668039).

111010001011001 is a wasteful number, since it uses less digits than its factorization.

111010001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829216.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111010001011001 its reverse (100110100010111), we get a palindrome (211120101021112).

The spelling of 111010001011001 in words is "one hundred eleven trillion, ten billion, one million, eleven thousand, one".