10112010216 has 256 divisors, whose sum is σ = 33530112000. Its totient is φ = 2461777920.

The previous prime is 10112010173. The next prime is 10112010217. The reversal of 10112010216 is 61201021101.

It is a happy number.

10112010216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10112010195 and 10112010204.

It is not an unprimeable number, because it can be changed into a prime (10112010217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3404380 + ... + 3407348.

It is an arithmetic number, because the mean of its divisors is an integer number (130977000).

Almost surely, 2^10112010216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112010216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056000).

10112010216 is an abundant number, since it is smaller than the sum of its proper divisors (23418101784).

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

10112010216 is a wasteful number, since it uses less digits than its factorization.

10112010216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3108 counting only the distinct ones).

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

Adding to 10112010216 its reverse (61201021101), we get a palindrome (71313031317).

The spelling of 10112010216 in words is "ten billion, one hundred twelve million, ten thousand, two hundred sixteen".