10221213312 has 128 divisors (see below), whose sum is σ = 30202200000. Its totient is φ = 3403072512.

The previous prime is 10221213311. The next prime is 10221213323. The reversal of 10221213312 is 21331212201.

It is a tau number, because it is divible by the number of its divisors (128).

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 (10221213311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5179558 + ... + 5181530.

Almost surely, 2^10221213312 is an apocalyptic number.

10221213312 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 10221213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101100000).

10221213312 is an abundant number, since it is smaller than the sum of its proper divisors (19980986688).

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

10221213312 is a wasteful number, since it uses less digits than its factorization.

10221213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3477 counting only the distinct ones).

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

Adding to 10221213312 its reverse (21331212201), we get a palindrome (31552425513).

The spelling of 10221213312 in words is "ten billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".