2011003104144 has 160 divisors (see below), whose sum is σ = 5333605056000. Its totient is φ = 652719513600.

The previous prime is 2011003104137. The next prime is 2011003104151. The reversal of 2011003104144 is 4414013001102.

It is an interprime number because it is at equal distance from previous prime (2011003104137) and next prime (2011003104151).

It is a self number, because there is not a number n which added to its sum of digits gives 2011003104144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218606457 + ... + 218615655.

It is an arithmetic number, because the mean of its divisors is an integer number (33335031600).

Almost surely, 2^{2011003104144} is an apocalyptic number.

2011003104144 is a gapful number since it is divisible by the number (24) 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 2011003104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666802528000).

2011003104144 is an abundant number, since it is smaller than the sum of its proper divisors (3322601951856).

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

2011003104144 is a wasteful number, since it uses less digits than its factorization.

2011003104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073 (or 10067 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2011003104144 its reverse (4414013001102), we get a palindrome (6425016105246).

The spelling of 2011003104144 in words is "two trillion, eleven billion, three million, one hundred four thousand, one hundred forty-four".