100230320233200 has 240 divisors, whose sum is σ = 326021357742080. Its totient is φ = 26317839375360.

The previous prime is 100230320233133. The next prime is 100230320233273. The reversal of 100230320233200 is 2332023032001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×100230320233200⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33351162 + ... + 36232038.

Almost surely, 2^{100230320233200} is an apocalyptic number.

100230320233200 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 100230320233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163010678871040).

100230320233200 is an abundant number, since it is smaller than the sum of its proper divisors (225791037508880).

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

100230320233200 is a wasteful number, since it uses less digits than its factorization.

100230320233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881344 (or 2881333 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100230320233200 its reverse (2332023032001), we get a palindrome (102562343265201).

The spelling of 100230320233200 in words is "one hundred trillion, two hundred thirty billion, three hundred twenty million, two hundred thirty-three thousand, two hundred".