2000224410100 has 288 divisors, whose sum is σ = 5296785984000. Its totient is φ = 640843315200.

The previous prime is 2000224410097. The next prime is 2000224410127. The reversal of 2000224410100 is 10144220002.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 146326066 + ... + 146339734.

It is an arithmetic number, because the mean of its divisors is an integer number (18391618000).

Almost surely, 2^{2000224410100} is an apocalyptic number.

2000224410100 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 2000224410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648392992000).

2000224410100 is an abundant number, since it is smaller than the sum of its proper divisors (3296561573900).

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

2000224410100 is a wasteful number, since it uses less digits than its factorization.

2000224410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2000224410100 its reverse (10144220002), we get a palindrome (2010368630102).

The spelling of 2000224410100 in words is "two trillion, two hundred twenty-four million, four hundred ten thousand, one hundred".