101323223023200 has 288 divisors, whose sum is σ = 349311573878400. Its totient is φ = 25422563942400.

The previous prime is 101323223023171. The next prime is 101323223023201. The reversal of 101323223023200 is 2320322323101.

101323223023200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101323223023201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137168451 + ... + 137905149.

It is an arithmetic number, because the mean of its divisors is an integer number (1212887409300).

Almost surely, 2^{101323223023200} is an apocalyptic number.

101323223023200 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 101323223023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174655786939200).

101323223023200 is an abundant number, since it is smaller than the sum of its proper divisors (247988350855200).

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

101323223023200 is a wasteful number, since it uses less digits than its factorization.

101323223023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740110 (or 740097 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 101323223023200 its reverse (2320322323101), we get a palindrome (103643545346301).

The spelling of 101323223023200 in words is "one hundred one trillion, three hundred twenty-three billion, two hundred twenty-three million, twenty-three thousand, two hundred".