100020320232000 has 448 divisors, whose sum is σ = 377507712791040. Its totient is φ = 22858177536000.

The previous prime is 100020320231999. The next prime is 100020320232013. The reversal of 100020320232000 is 232023020001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1147228410 + ... + 1147315590.

Almost surely, 2^{100020320232000} is an apocalyptic number.

100020320232000 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 100020320232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188753856395520).

100020320232000 is an abundant number, since it is smaller than the sum of its proper divisors (277487392559040).

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

100020320232000 is an equidigital number, since it uses as much as digits as its factorization.

100020320232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94047 (or 94027 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 100020320232000 its reverse (232023020001), we get a palindrome (100252343252001).

The spelling of 100020320232000 in words is "one hundred trillion, twenty billion, three hundred twenty million, two hundred thirty-two thousand".