1001111000016 has 80 divisors (see below), whose sum is σ = 2613997586304. Its totient is φ = 330123988992.

The previous prime is 1001111000003. The next prime is 1001111000017. The reversal of 1001111000016 is 6100001111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001110999965 and 1001111000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111000017) 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, 4726660 + ... + 4933916.

Almost surely, 2^{1001111000016} is an apocalyptic number.

1001111000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001111000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306998793152).

1001111000016 is an abundant number, since it is smaller than the sum of its proper divisors (1612886586288).

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

1001111000016 is a wasteful number, since it uses less digits than its factorization.

1001111000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208348 (or 208342 counting only the distinct ones).

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

Adding to 1001111000016 its reverse (6100001111001), we get a palindrome (7101112111017).

The spelling of 1001111000016 in words is "one trillion, one billion, one hundred eleven million, sixteen", and thus it is an aban number.