10024211112 has 64 divisors (see below), whose sum is σ = 25651468800. Its totient is φ = 3263494080.

The previous prime is 10024211111. The next prime is 10024211221. The reversal of 10024211112 is 21111242001.

10024211112 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 = 10024211091 and 10024211100.

It is not an unprimeable number, because it can be changed into a prime (10024211111) 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 15 ways as a sum of consecutive naturals, for example, 154839 + ... + 209817.

It is an arithmetic number, because the mean of its divisors is an integer number (400804200).

Almost surely, 2^10024211112 is an apocalyptic number.

10024211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024211112 is an abundant number, since it is smaller than the sum of its proper divisors (15627257688).

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

10024211112 is a wasteful number, since it uses less digits than its factorization.

10024211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55166 (or 55162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10024211112 its reverse (21111242001), we get a palindrome (31135453113).

The spelling of 10024211112 in words is "ten billion, twenty-four million, two hundred eleven thousand, one hundred twelve".