100213213230300 has 288 divisors, whose sum is σ = 324306355564800. Its totient is φ = 23743582064640.

The previous prime is 100213213230287. The next prime is 100213213230301. The reversal of 100213213230300 is 3032312312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213213230301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25595506 + ... + 29249894.

It is an arithmetic number, because the mean of its divisors is an integer number (1126063734600).

Almost surely, 2^{100213213230300} is an apocalyptic number.

100213213230300 is a gapful number since it is divisible by the number (10) 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 100213213230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153177782400).

100213213230300 is an abundant number, since it is smaller than the sum of its proper divisors (224093142334500).

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

100213213230300 is a wasteful number, since it uses less digits than its factorization.

100213213230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654725 (or 3654718 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100213213230300 its reverse (3032312312001), we get a palindrome (103245525542301).

The spelling of 100213213230300 in words is "one hundred trillion, two hundred thirteen billion, two hundred thirteen million, two hundred thirty thousand, three hundred".