100321233012000 has 4608 divisors, whose sum is σ = 498731259027456. Its totient is φ = 18426507264000.

The previous prime is 100321233011999. The next prime is 100321233012023. The reversal of 100321233012000 is 210332123001.

100321233012000 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 212 + 330 + 120 + 0 + 0 = 666.

It is a super-3 number, since 3×100321233012000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 89333243439 + ... + 89333244561.

It is an arithmetic number, because the mean of its divisors is an integer number (108231610032).

Almost surely, 2^{100321233012000} is an apocalyptic number.

100321233012000 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 100321233012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249365629513728).

100321233012000 is an abundant number, since it is smaller than the sum of its proper divisors (398410026015456).

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

100321233012000 is a wasteful number, since it uses less digits than its factorization.

100321233012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100321233012000 its reverse (210332123001), we get a palindrome (100531565135001).

The spelling of 100321233012000 in words is "one hundred trillion, three hundred twenty-one billion, two hundred thirty-three million, twelve thousand".