100012718856960 has 4536 divisors, whose sum is σ = 464359149928800. Its totient is φ = 20610850111488.

The previous prime is 100012718856949. The next prime is 100012718856979. The reversal of 100012718856960 is 69658817210001.

It is a happy number.

100012718856960 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 2 + 7 + 18 + 8 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×100012718856960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 100012718856897 and 100012718856906.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2325877182699 + ... + 2325877182741.

Almost surely, 2^{100012718856960} is an apocalyptic number.

100012718856960 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 100012718856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232179574964400).

100012718856960 is an abundant number, since it is smaller than the sum of its proper divisors (364346431071840).

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

100012718856960 is an frugal number, since it uses more digits than its factorization.

100012718856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 100012718856960 in words is "one hundred trillion, twelve billion, seven hundred eighteen million, eight hundred fifty-six thousand, nine hundred sixty".