100512443152 has 160 divisors (see below), whose sum is σ = 235318867200. Its totient is φ = 41026191360.

The previous prime is 100512443137. The next prime is 100512443233. The reversal of 100512443152 is 251344215001.

100512443152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100512443152.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30896758 + ... + 30900010.

It is an arithmetic number, because the mean of its divisors is an integer number (1470742920).

Almost surely, 2^100512443152 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 100512443152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117659433600).

100512443152 is an abundant number, since it is smaller than the sum of its proper divisors (134806424048).

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

100512443152 is a wasteful number, since it uses less digits than its factorization.

100512443152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 100512443152 its reverse (251344215001), we get a palindrome (351856658153).

The spelling of 100512443152 in words is "one hundred billion, five hundred twelve million, four hundred forty-three thousand, one hundred fifty-two".