100718224512 has 128 divisors (see below), whose sum is σ = 274995378240. Its totient is φ = 32637800448.

The previous prime is 100718224471. The next prime is 100718224517. The reversal of 100718224512 is 215422817001.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (100718224517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23114238 + ... + 23118594.

Almost surely, 2^100718224512 is an apocalyptic number.

100718224512 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 100718224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137497689120).

100718224512 is an abundant number, since it is smaller than the sum of its proper divisors (174277153728).

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

100718224512 is a wasteful number, since it uses less digits than its factorization.

100718224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 100718224512 in words is "one hundred billion, seven hundred eighteen million, two hundred twenty-four thousand, five hundred twelve".