101832737216112 has 1280 divisors, whose sum is σ = 368896674816000. Its totient is φ = 26265360236544.

The previous prime is 101832737216069. The next prime is 101832737216117. The reversal of 101832737216112 is 211612737238101.

101832737216112 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 3 + 2 + 7 + 3 + 7 + 21 + 611 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101832737216117) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12138836814 + ... + 12138845202.

It is an arithmetic number, because the mean of its divisors is an integer number (288200527200).

Almost surely, 2^{101832737216112} is an apocalyptic number.

101832737216112 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 101832737216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184448337408000).

101832737216112 is an abundant number, since it is smaller than the sum of its proper divisors (267063937599888).

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

101832737216112 is a wasteful number, since it uses less digits than its factorization.

101832737216112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 101832737216112 in words is "one hundred one trillion, eight hundred thirty-two billion, seven hundred thirty-seven million, two hundred sixteen thousand, one hundred twelve".