1011010111001 has 16 divisors (see below), whose sum is σ = 1109884845888. Its totient is φ = 913304145600.

The previous prime is 1011010110991. The next prime is 1011010111003. The reversal of 1011010111001 is 1001110101101.

It is a de Polignac number, because none of the positive numbers 2^k-1011010111001 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 1011010111001.

It is not an unprimeable number, because it can be changed into a prime (1011010111003) 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 15 ways as a sum of consecutive naturals, for example, 2343686 + ... + 2741328.

It is an arithmetic number, because the mean of its divisors is an integer number (69367802868).

Almost surely, 2^{1011010111001} is an apocalyptic number.

1011010111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011010111001 is a deficient number, since it is larger than the sum of its proper divisors (98874734887).

1011010111001 is a wasteful number, since it uses less digits than its factorization.

1011010111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399112.

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

Adding to 1011010111001 its reverse (1001110101101), we get a palindrome (2012120212102).

The spelling of 1011010111001 in words is "one trillion, eleven billion, ten million, one hundred eleven thousand, one".