100213010304 has 128 divisors (see below), whose sum is σ = 291226320000. Its totient is φ = 30280120320.

The previous prime is 100213010237. The next prime is 100213010309. The reversal of 100213010304 is 403010312001.

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

It is a super-2 number, since 2×100213010304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213010309) by changing a digit.

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, 1440187 + ... + 1508165.

It is an arithmetic number, because the mean of its divisors is an integer number (2275205625).

Almost surely, 2^100213010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100213010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145613160000).

100213010304 is an abundant number, since it is smaller than the sum of its proper divisors (191013309696).

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

100213010304 is a wasteful number, since it uses less digits than its factorization.

100213010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68356 (or 68344 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100213010304 its reverse (403010312001), we get a palindrome (503223322305).

The spelling of 100213010304 in words is "one hundred billion, two hundred thirteen million, ten thousand, three hundred four".