1001016111004 has 96 divisors (see below), whose sum is σ = 2178343673856. Its totient is φ = 391912300800.

The previous prime is 1001016111001. The next prime is 1001016111013. The reversal of 1001016111004 is 4001116101001.

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 31 ways as a sum of consecutive naturals, for example, 111133069 + ... + 111142075.

It is an arithmetic number, because the mean of its divisors is an integer number (22691079936).

Almost surely, 2^{1001016111004} is an apocalyptic number.

1001016111004 is a gapful number since it is divisible by the number (14) 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 1001016111004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089171836928).

1001016111004 is an abundant number, since it is smaller than the sum of its proper divisors (1177327562852).

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

1001016111004 is a wasteful number, since it uses less digits than its factorization.

1001016111004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

The spelling of 1001016111004 in words is "one trillion, one billion, sixteen million, one hundred eleven thousand, four".