202113121010304 has 1024 divisors, whose sum is σ = 663993859276800. Its totient is φ = 53227731025920.

The previous prime is 202113121010299. The next prime is 202113121010329. The reversal of 202113121010304 is 403010121311202.

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

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 127 ways as a sum of consecutive naturals, for example, 66462715024 + ... + 66462718064.

It is an arithmetic number, because the mean of its divisors is an integer number (648431503200).

Almost surely, 2^{202113121010304} is an apocalyptic number.

202113121010304 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 202113121010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331996929638400).

202113121010304 is an abundant number, since it is smaller than the sum of its proper divisors (461880738266496).

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

202113121010304 is a wasteful number, since it uses less digits than its factorization.

202113121010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 202113121010304 its reverse (403010121311202), we get a palindrome (605123242321506).

The spelling of 202113121010304 in words is "two hundred two trillion, one hundred thirteen billion, one hundred twenty-one million, ten thousand, three hundred four".