100135444512000 has 144 divisors (see below), whose sum is σ = 332599879265472. Its totient is φ = 26702785177600.

The previous prime is 100135444511983. The next prime is 100135444512079. The reversal of 100135444512000 is 215444531001.

100135444512000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521442774 + ... + 521634773.

It is an arithmetic number, because the mean of its divisors is an integer number (2309721383788).

Almost surely, 2^{100135444512000} is an apocalyptic number.

100135444512000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100135444512000 is an abundant number, since it is smaller than the sum of its proper divisors (232464434753472).

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

100135444512000 is an equidigital number, since it uses as much as digits as its factorization.

100135444512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043077581 (or 1043077557 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 100135444512000 in words is "one hundred trillion, one hundred thirty-five billion, four hundred forty-four million, five hundred twelve thousand".