1011011111001 has 16 divisors (see below), whose sum is σ = 1497888659520. Its totient is φ = 673964917920.

The previous prime is 1011011110913. The next prime is 1011011111009. The reversal of 1011011111001 is 1001111101101.

It is not a de Polignac number, because 1011011111001 - 2²³ = 1011002722393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1011011111009) 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, 741060 + ... + 1603493.

It is an arithmetic number, because the mean of its divisors is an integer number (93618041220).

Almost surely, 2^{1011011111001} is an apocalyptic number.

It is an amenable number.

1011011111001 is a deficient number, since it is larger than the sum of its proper divisors (486877548519).

1011011111001 is a wasteful number, since it uses less digits than its factorization.

1011011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360533 (or 2360527 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1011011111001 its reverse (1001111101101), we get a palindrome (2012122212102).

It can be divided in two parts, 10 and 11011111001, that added together give a palindrome (11011111011).

The spelling of 1011011111001 in words is "one trillion, eleven billion, eleven million, one hundred eleven thousand, one".