100312102320012 has 144 divisors (see below), whose sum is σ = 293537392162560. Its totient is φ = 28583158454400.

The previous prime is 100312102320007. The next prime is 100312102320037. The reversal of 100312102320012 is 210023201213001.

100312102320012 is a `hidden beast` number, since 10 + 0 + 312 + 10 + 2 + 320 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 92798439 + ... + 93873182.

It is an arithmetic number, because the mean of its divisors is an integer number (2038454112240).

Almost surely, 2^{100312102320012} is an apocalyptic number.

100312102320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100312102320012 is an abundant number, since it is smaller than the sum of its proper divisors (193225289842548).

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

100312102320012 is a wasteful number, since it uses less digits than its factorization.

100312102320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186671724 (or 186671719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100312102320012 its reverse (210023201213001), we get a palindrome (310335303533013).

The spelling of 100312102320012 in words is "one hundred trillion, three hundred twelve billion, one hundred two million, three hundred twenty thousand, twelve".