213202024100 has 144 divisors (see below), whose sum is σ = 510299494992. Its totient is φ = 76830474240.

The previous prime is 213202024093. The next prime is 213202024117. The reversal of 213202024100 is 1420202312.

213202024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 212371662244 + 830361856 = 460838^2 + 28816^2 .

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, 13289684 + ... + 13305716.

It is an arithmetic number, because the mean of its divisors is an integer number (3543746493).

Almost surely, 2^213202024100 is an apocalyptic number.

213202024100 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 213202024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255149747496).

213202024100 is an abundant number, since it is smaller than the sum of its proper divisors (297097470892).

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

213202024100 is a wasteful number, since it uses less digits than its factorization.

213202024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306 (or 16299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213202024100 its reverse (1420202312), we get a palindrome (214622226412).

The spelling of 213202024100 in words is "two hundred thirteen billion, two hundred two million, twenty-four thousand, one hundred".