2001221101100 has 288 divisors, whose sum is σ = 5053064083200. Its totient is φ = 681266626560.

The previous prime is 2001221101097. The next prime is 2001221101147. The reversal of 2001221101100 is 11011221002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1291943126 + ... + 1291944674.

It is an arithmetic number, because the mean of its divisors is an integer number (17545361400).

Almost surely, 2^{2001221101100} is an apocalyptic number.

2001221101100 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 2001221101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526532041600).

2001221101100 is an abundant number, since it is smaller than the sum of its proper divisors (3051842982100).

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

2001221101100 is a wasteful number, since it uses less digits than its factorization.

2001221101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001221101100 its reverse (11011221002), we get a palindrome (2012232322102).

The spelling of 2001221101100 in words is "two trillion, one billion, two hundred twenty-one million, one hundred one thousand, one hundred".