100301013312032 has 192 divisors, whose sum is σ = 216858476016000. Its totient is φ = 45389395107840.

The previous prime is 100301013312029. The next prime is 100301013312037. The reversal of 100301013312032 is 230213310103001.

It is a junction number, because it is equal to n+sod(n) for n = 100301013311995 and 100301013312013.

It is not an unprimeable number, because it can be changed into a prime (100301013312037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863646019 + ... + 1863699837.

It is an arithmetic number, because the mean of its divisors is an integer number (1129471229250).

Almost surely, 2^{100301013312032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301013312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108429238008000).

100301013312032 is an abundant number, since it is smaller than the sum of its proper divisors (116557462703968).

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

100301013312032 is a wasteful number, since it uses less digits than its factorization.

100301013312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54379 (or 54371 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100301013312032 its reverse (230213310103001), we get a palindrome (330514323415033).

The spelling of 100301013312032 in words is "one hundred trillion, three hundred one billion, thirteen million, three hundred twelve thousand, thirty-two".