2001110111000 has 256 divisors, whose sum is σ = 6287127275520. Its totient is φ = 575743680000.

The previous prime is 2001110110969. The next prime is 2001110111009. The reversal of 2001110111000 is 1110111002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001110111009) 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, 1445 + ... + 2000555.

It is an arithmetic number, because the mean of its divisors is an integer number (24559090920).

Almost surely, 2^{2001110111000} is an apocalyptic number.

2001110111000 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 2001110111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143563637760).

2001110111000 is an abundant number, since it is smaller than the sum of its proper divisors (4286017164520).

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

2001110111000 is a wasteful number, since it uses less digits than its factorization.

2001110111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999163 (or 1999149 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2001110111000 its reverse (1110111002), we get a palindrome (2002220222002).

The spelling of 2001110111000 in words is "two trillion, one billion, one hundred ten million, one hundred eleven thousand".