2001100220000 has 720 divisors, whose sum is σ = 5959152460800. Its totient is φ = 658627200000.

The previous prime is 2001100219991. The next prime is 2001100220023. The reversal of 2001100220000 is 220011002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001100220000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6045619835 + ... + 6045620165.

It is an arithmetic number, because the mean of its divisors is an integer number (8276600640).

Almost surely, 2^{2001100220000} is an apocalyptic number.

2001100220000 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 2001100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979576230400).

2001100220000 is an abundant number, since it is smaller than the sum of its proper divisors (3958052240800).

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

2001100220000 is a wasteful number, since it uses less digits than its factorization.

2001100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 575 counting only the distinct ones).

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

Adding to 2001100220000 its reverse (220011002), we get a palindrome (2001320231002).

It can be divided in two parts, 2001 and 100220000, that added together give a palindrome (100222001).

The spelling of 2001100220000 in words is "two trillion, one billion, one hundred million, two hundred twenty thousand".