100322232120000 has 1260 divisors, whose sum is σ = 413718856818696. Its totient is φ = 23040184320000.

The previous prime is 100322232119957. The next prime is 100322232120049. The reversal of 100322232120000 is 21232223001.

100322232120000 is a `hidden beast` number, since 1 + 0 + 0 + 322 + 2 + 321 + 20 + 0 + 0 + 0 = 666.

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 179 ways as a sum of consecutive naturals, for example, 1429524912 + ... + 1429595088.

Almost surely, 2^{100322232120000} is an apocalyptic number.

100322232120000 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 100322232120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206859428409348).

100322232120000 is an abundant number, since it is smaller than the sum of its proper divisors (313396624698696).

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

100322232120000 is a wasteful number, since it uses less digits than its factorization.

100322232120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70264 (or 70217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100322232120000 its reverse (21232223001), we get a palindrome (100343464343001).

The spelling of 100322232120000 in words is "one hundred trillion, three hundred twenty-two billion, two hundred thirty-two million, one hundred twenty thousand".