10221044112 has 60 divisors (see below), whose sum is σ = 28611879660. Its totient is φ = 3406162944.

The previous prime is 10221044111. The next prime is 10221044149. The reversal of 10221044112 is 21144012201.

10221044112 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 441 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4857532416 + 5363511696 = 69696^2 + 73236^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10221044111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870988 + ... + 882644.

It is an arithmetic number, because the mean of its divisors is an integer number (476864661).

Almost surely, 2^10221044112 is an apocalyptic number.

10221044112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221044112 is an abundant number, since it is smaller than the sum of its proper divisors (18390835548).

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

10221044112 is a wasteful number, since it uses less digits than its factorization.

10221044112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760 (or 17751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221044112 its reverse (21144012201), we get a palindrome (31365056313).

The spelling of 10221044112 in words is "ten billion, two hundred twenty-one million, forty-four thousand, one hundred twelve".