100301332230000 has 900 divisors, whose sum is σ = 385809401097120. Its totient is φ = 24299447040000.

The previous prime is 100301332229977. The next prime is 100301332230031. The reversal of 100301332230000 is 32233103001.

100301332230000 is a `hidden beast` number, since 1 + 0 + 0 + 30 + 1 + 332 + 2 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×100301332230000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 32158168441 + ... + 32158171559.

Almost surely, 2^{100301332230000} is an apocalyptic number.

100301332230000 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 100301332230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192904700548560).

100301332230000 is an abundant number, since it is smaller than the sum of its proper divisors (285508068867120).

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

100301332230000 is a wasteful number, since it uses less digits than its factorization.

100301332230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100301332230000 its reverse (32233103001), we get a palindrome (100333565333001).

The spelling of 100301332230000 in words is "one hundred trillion, three hundred one billion, three hundred thirty-two million, two hundred thirty thousand".