100233010032000 has 256 divisors, whose sum is σ = 332471778724800. Its totient is φ = 26712766464000.

The previous prime is 100233010031977. The next prime is 100233010032017. The reversal of 100233010032000 is 230010332001.

100233010032000 is digitally balanced in base 3, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79486420 + ... + 80737580.

Almost surely, 2^{100233010032000} is an apocalyptic number.

100233010032000 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 100233010032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166235889362400).

100233010032000 is an abundant number, since it is smaller than the sum of its proper divisors (232238768692800).

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

100233010032000 is a wasteful number, since it uses less digits than its factorization.

100233010032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252862 (or 1252840 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100233010032000 its reverse (230010332001), we get a palindrome (100463020364001).

The spelling of 100233010032000 in words is "one hundred trillion, two hundred thirty-three billion, ten million, thirty-two thousand".