1001016111006 has 128 divisors (see below), whose sum is σ = 2399333376000. Its totient is φ = 308331098208.

The previous prime is 1001016111001. The next prime is 1001016111013. The reversal of 1001016111006 is 6001116101001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001016111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001016111001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32587851 + ... + 32618553.

It is an arithmetic number, because the mean of its divisors is an integer number (18744792000).

Almost surely, 2^{1001016111006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001016111006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199666688000).

1001016111006 is an abundant number, since it is smaller than the sum of its proper divisors (1398317264994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001016111006 is a wasteful number, since it uses less digits than its factorization.

1001016111006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31515 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1001016111006 in words is "one trillion, one billion, sixteen million, one hundred eleven thousand, six".