2021210212224 has 128 divisors (see below), whose sum is σ = 6139442016000. Its totient is φ = 577147428864.

The previous prime is 2021210212129. The next prime is 2021210212291. The reversal of 2021210212224 is 4222120121202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2021210212224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4345624 + ... + 4788200.

It is an arithmetic number, because the mean of its divisors is an integer number (47964390750).

Almost surely, 2^{2021210212224} is an apocalyptic number.

2021210212224 is a gapful number since it is divisible by the number (24) 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 2021210212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069721008000).

2021210212224 is an abundant number, since it is smaller than the sum of its proper divisors (4118231803776).

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

2021210212224 is a wasteful number, since it uses less digits than its factorization.

2021210212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444300 (or 444288 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2021210212224 its reverse (4222120121202), we get a palindrome (6243330333426).

The spelling of 2021210212224 in words is "two trillion, twenty-one billion, two hundred ten million, two hundred twelve thousand, two hundred twenty-four".