1011100111001 has 8 divisors (see below), whose sum is σ = 1046057001600. Its totient is φ = 976149311760.

The previous prime is 1011100110949. The next prime is 1011100111013. The reversal of 1011100111001 is 1001110011101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011100111001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011100111001.

It is not an unprimeable number, because it can be changed into a prime (1011100111051) 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 7 ways as a sum of consecutive naturals, for example, 1183841 + ... + 1850318.

It is an arithmetic number, because the mean of its divisors is an integer number (130757125200).

Almost surely, 2^{1011100111001} is an apocalyptic number.

It is an amenable number.

1011100111001 is a deficient number, since it is larger than the sum of its proper divisors (34956890599).

1011100111001 is a wasteful number, since it uses less digits than its factorization.

1011100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045679.

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

Adding to 1011100111001 its reverse (1001110011101), we get a palindrome (2012210122102).

It can be divided in two parts, 101110011100 and 1, that added together give a palindrome (101110011101).

The spelling of 1011100111001 in words is "one trillion, eleven billion, one hundred million, one hundred eleven thousand, one".