10012112016 has 160 divisors (see below), whose sum is σ = 27644897280. Its totient is φ = 3113510400.

The previous prime is 10012112003. The next prime is 10012112017. The reversal of 10012112016 is 61021121001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10012111986 and 10012112004.

It is not an unprimeable number, because it can be changed into a prime (10012112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21624201 + ... + 21624663.

It is an arithmetic number, because the mean of its divisors is an integer number (172780608).

Almost surely, 2^10012112016 is an apocalyptic number.

10012112016 is a gapful number since it is divisible by the number (16) 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 10012112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822448640).

10012112016 is an abundant number, since it is smaller than the sum of its proper divisors (17632785264).

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

10012112016 is a wasteful number, since it uses less digits than its factorization.

10012112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10012112016 its reverse (61021121001), we get a palindrome (71033233017).

The spelling of 10012112016 in words is "ten billion, twelve million, one hundred twelve thousand, sixteen".