10321322112 has 96 divisors (see below), whose sum is σ = 29745375660. Its totient is φ = 3435264000.

The previous prime is 10321322107. The next prime is 10321322119. The reversal of 10321322112 is 21122312301.

10321322112 is a `hidden beast` number, since 10 + 321 + 322 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9257518656 + 1063803456 = 96216^2 + 32616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (10321322119) 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 11 ways as a sum of consecutive naturals, for example, 801162 + ... + 813942.

Almost surely, 2^10321322112 is an apocalyptic number.

10321322112 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 10321322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872687830).

10321322112 is an abundant number, since it is smaller than the sum of its proper divisors (19424053548).

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

10321322112 is a wasteful number, since it uses less digits than its factorization.

10321322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13502 (or 13487 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10321322112 its reverse (21122312301), we get a palindrome (31443634413).

The spelling of 10321322112 in words is "ten billion, three hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".