10221323112 has 384 divisors, whose sum is σ = 38182959360. Its totient is φ = 2383810560.

The previous prime is 10221323107. The next prime is 10221323113. The reversal of 10221323112 is 21132312201.

10221323112 is a `hidden beast` number, since 10 + 221 + 323 + 112 = 666.

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 (10221323113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2664748 + ... + 2668580.

It is an arithmetic number, because the mean of its divisors is an integer number (99434790).

Almost surely, 2^10221323112 is an apocalyptic number.

10221323112 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 10221323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091479680).

10221323112 is an abundant number, since it is smaller than the sum of its proper divisors (27961636248).

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

10221323112 is a wasteful number, since it uses less digits than its factorization.

10221323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3906 counting only the distinct ones).

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

Adding to 10221323112 its reverse (21132312201), we get a palindrome (31353635313).

It can be divided in two parts, 10221 and 323112, that added together give a palindrome (333333).

The spelling of 10221323112 in words is "ten billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred twelve".