100233327483072 has 224 divisors, whose sum is σ = 338246312624640. Its totient is φ = 28511933783040.

The previous prime is 100233327483043. The next prime is 100233327483073. The reversal of 100233327483072 is 270384723332001.

100233327483072 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 332 + 7 + 4 + 8 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (100233327483073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15506379 + ... + 20997962.

It is an arithmetic number, because the mean of its divisors is an integer number (1510028181360).

Almost surely, 2^{100233327483072} is an apocalyptic number.

100233327483072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100233327483072 is an abundant number, since it is smaller than the sum of its proper divisors (238012985141568).

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

100233327483072 is a wasteful number, since it uses less digits than its factorization.

100233327483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36504596 (or 36504580 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 100233327483072 in words is "one hundred trillion, two hundred thirty-three billion, three hundred twenty-seven million, four hundred eighty-three thousand, seventy-two".