2000442332100 has 144 divisors (see below), whose sum is σ = 5926558176000. Its totient is φ = 520692816000.

The previous prime is 2000442332093. The next prime is 2000442332111. The reversal of 2000442332100 is 12332440002.

It is a super-3 number, since 3×2000442332100³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19285375 + ... + 19388825.

It is an arithmetic number, because the mean of its divisors is an integer number (41156654000).

Almost surely, 2^{2000442332100} is an apocalyptic number.

2000442332100 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 2000442332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963279088000).

2000442332100 is an abundant number, since it is smaller than the sum of its proper divisors (3926115843900).

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

2000442332100 is a wasteful number, since it uses less digits than its factorization.

2000442332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105010 (or 105003 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2000442332100 its reverse (12332440002), we get a palindrome (2012774772102).

The spelling of 2000442332100 in words is "two trillion, four hundred forty-two million, three hundred thirty-two thousand, one hundred".