100001451780000 has 720 divisors, whose sum is σ = 386433424377000. Its totient is φ = 24420040704000.

The previous prime is 100001451779969. The next prime is 100001451780007. The reversal of 100001451780000 is 87154100001.

It can be written as a sum of positive squares in 20 ways, for example, as 17361788895504 + 82639662884496 = 4166748^2 + 9090636^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (100001451780007) 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 119 ways as a sum of consecutive naturals, for example, 112778376 + ... + 113661624.

Almost surely, 2^{100001451780000} is an apocalyptic number.

100001451780000 is a gapful number since it is divisible by the number (10) 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 100001451780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193216712188500).

100001451780000 is an abundant number, since it is smaller than the sum of its proper divisors (286431972597000).

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

100001451780000 is a wasteful number, since it uses less digits than its factorization.

100001451780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883339 (or 883313 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 100001451780000 in words is "one hundred trillion, one billion, four hundred fifty-one million, seven hundred eighty thousand".