100116237312 has 1056 divisors, whose sum is σ = 384356510720. Its totient is φ = 24365629440.

The previous prime is 100116237281. The next prime is 100116237343. The reversal of 100116237312 is 213732611001.

100116237312 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 623 + 7 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100116237281) and next prime (100116237343).

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, 972002253 + ... + 972002355.

Almost surely, 2^100116237312 is an apocalyptic number.

100116237312 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 100116237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192178255360).

100116237312 is an abundant number, since it is smaller than the sum of its proper divisors (284240273408).

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

100116237312 is a wasteful number, since it uses less digits than its factorization.

100116237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 100116237312 its reverse (213732611001), we get a palindrome (313848848313).

The spelling of 100116237312 in words is "one hundred billion, one hundred sixteen million, two hundred thirty-seven thousand, three hundred twelve".