100994773571712 has 384 divisors, whose sum is σ = 300760016880960. Its totient is φ = 32513532420096.

The previous prime is 100994773571711. The next prime is 100994773571719. The reversal of 100994773571712 is 217175377499001.

100994773571712 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 47 + 7 + 3 + 571 + 7 + 12 = 666.

100994773571712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×100994773571712² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100994773571712.

It is not an unprimeable number, because it can be changed into a prime (100994773571711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403702523 + ... + 1403774469.

Almost surely, 2^{100994773571712} is an apocalyptic number.

100994773571712 is a gapful number since it is divisible by the number (12) 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 100994773571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150380008440480).

100994773571712 is an abundant number, since it is smaller than the sum of its proper divisors (199765243309248).

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

100994773571712 is a wasteful number, since it uses less digits than its factorization.

100994773571712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72380 (or 72365 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 63.

The spelling of 100994773571712 in words is "one hundred trillion, nine hundred ninety-four billion, seven hundred seventy-three million, five hundred seventy-one thousand, seven hundred twelve".