1000111006006 has 96 divisors (see below), whose sum is σ = 1850611795200. Its totient is φ = 403458693120.

The previous prime is 1000111006001. The next prime is 1000111006007. The reversal of 1000111006006 is 6006001110001.

1000111006006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111006001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257162110 + ... + 257165998.

It is an arithmetic number, because the mean of its divisors is an integer number (19277206200).

Almost surely, 2^{1000111006006} is an apocalyptic number.

1000111006006 is a deficient number, since it is larger than the sum of its proper divisors (850500789194).

1000111006006 is a wasteful number, since it uses less digits than its factorization.

1000111006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1000111006006 its reverse (6006001110001), we get a palindrome (7006112116007).

The spelling of 1000111006006 in words is "one trillion, one hundred eleven million, six thousand, six".