1010000111001 has 24 divisors (see below), whose sum is σ = 1624313605824. Its totient is φ = 546766973280.

The previous prime is 1010000110997. The next prime is 1010000111083. The reversal of 1010000111001 is 1001110000101.

1010000111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010000111001 - 2² = 1010000110997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010000111101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66606330 + ... + 66621491.

It is an arithmetic number, because the mean of its divisors is an integer number (67679733576).

Almost surely, 2^{1010000111001} is an apocalyptic number.

It is an amenable number.

1010000111001 is a deficient number, since it is larger than the sum of its proper divisors (614313494823).

1010000111001 is a wasteful number, since it uses less digits than its factorization.

1010000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133227869 (or 133227850 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010000111001 its reverse (1001110000101), we get a palindrome (2011110111102).

The spelling of 1010000111001 in words is "one trillion, ten billion, one hundred eleven thousand, one".