2021424100 has 144 divisors (see below), whose sum is σ = 4792099536. Its totient is φ = 737280000.

The previous prime is 2021424089. The next prime is 2021424121. The reversal of 2021424100 is 14241202.

It can be written as a sum of positive squares in 24 ways, for example, as 1287230884 + 734193216 = 35878^2 + 27096^2 .

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 47 ways as a sum of consecutive naturals, for example, 10473604 + ... + 10473796.

It is an arithmetic number, because the mean of its divisors is an integer number (33278469).

Almost surely, 2^2021424100 is an apocalyptic number.

2021424100 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 2021424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396049768).

2021424100 is an abundant number, since it is smaller than the sum of its proper divisors (2770675436).

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

2021424100 is a wasteful number, since it uses less digits than its factorization.

2021424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

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

The square root of 2021424100 is about 44960.2502217236. The cubic root of 2021424100 is about 1264.4038601935.

Adding to 2021424100 its reverse (14241202), we get a palindrome (2035665302).

The spelling of 2021424100 in words is "two billion, twenty-one million, four hundred twenty-four thousand, one hundred".