100978065318312 has 384 divisors, whose sum is σ = 352211067586560. Its totient is φ = 25419442913280.

The previous prime is 100978065318259. The next prime is 100978065318341. The reversal of 100978065318312 is 213813560879001.

100978065318312 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 8 + 0 + 6 + 5 + 318 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11422008 + ... + 18232344.

It is an arithmetic number, because the mean of its divisors is an integer number (917216321840).

Almost surely, 2^{100978065318312} is an apocalyptic number.

100978065318312 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 100978065318312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176105533793280).

100978065318312 is an abundant number, since it is smaller than the sum of its proper divisors (251233002268248).

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

100978065318312 is a wasteful number, since it uses less digits than its factorization.

100978065318312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810473 (or 6810466 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 100978065318312 in words is "one hundred trillion, nine hundred seventy-eight billion, sixty-five million, three hundred eighteen thousand, three hundred twelve".