1006110011001 has 16 divisors (see below), whose sum is σ = 1380711866688. Its totient is φ = 651279148800.

The previous prime is 1006110010943. The next prime is 1006110011003. The reversal of 1006110011001 is 1001100116001.

1006110011001 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 1006110011001 - 2⁹ = 1006110010489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006110011003) 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, 19357356 + ... + 19409261.

It is an arithmetic number, because the mean of its divisors is an integer number (86294491668).

Almost surely, 2^{1006110011001} is an apocalyptic number.

It is an amenable number.

1006110011001 is a deficient number, since it is larger than the sum of its proper divisors (374601855687).

1006110011001 is a wasteful number, since it uses less digits than its factorization.

1006110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38766872.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1006110011001 its reverse (1001100116001), we get a palindrome (2007210127002).

The spelling of 1006110011001 in words is "one trillion, six billion, one hundred ten million, eleven thousand, one".