2001140110000 has 100 divisors (see below), whose sum is σ = 4849197560064. Its totient is φ = 799756000000.

The previous prime is 2001140109949. The next prime is 2001140110007. The reversal of 2001140110000 is 110411002.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2001140110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11423070 + ... + 11596930.

Almost surely, 2^{2001140110000} is an apocalyptic number.

2001140110000 is a gapful number since it is divisible by the number (20) 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 2001140110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424598780032).

2001140110000 is an abundant number, since it is smaller than the sum of its proper divisors (2848057450064).

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

2001140110000 is a wasteful number, since it uses less digits than its factorization.

2001140110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175040 (or 175019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001140110000 its reverse (110411002), we get a palindrome (2001250521002).

The spelling of 2001140110000 in words is "two trillion, one billion, one hundred forty million, one hundred ten thousand".