100012473275760 has 640 divisors, whose sum is σ = 366225928611840. Its totient is φ = 24999868809216.

The previous prime is 100012473275753. The next prime is 100012473275773. The reversal of 100012473275760 is 67572374210001.

100012473275760 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 2 + 4 + 73 + 2 + 7 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12321355222 + ... + 12321363338.

It is an arithmetic number, because the mean of its divisors is an integer number (572228013456).

Almost surely, 2^{100012473275760} is an apocalyptic number.

100012473275760 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 100012473275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183112964305920).

100012473275760 is an abundant number, since it is smaller than the sum of its proper divisors (266213455336080).

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

100012473275760 is a wasteful number, since it uses less digits than its factorization.

100012473275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 100012473275760 in words is "one hundred trillion, twelve billion, four hundred seventy-three million, two hundred seventy-five thousand, seven hundred sixty".