10521213144 has 256 divisors, whose sum is σ = 30144737280. Its totient is φ = 3038238720.

The previous prime is 10521213103. The next prime is 10521213149. The reversal of 10521213144 is 44131212501.

It is a super-2 number, since 2×10521213144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521213149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47180217 + ... + 47180439.

It is an arithmetic number, because the mean of its divisors is an integer number (117752880).

Almost surely, 2^10521213144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10521213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072368640).

10521213144 is an abundant number, since it is smaller than the sum of its proper divisors (19623524136).

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

10521213144 is a wasteful number, since it uses less digits than its factorization.

10521213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10521213144 its reverse (44131212501), we get a palindrome (54652425645).

The spelling of 10521213144 in words is "ten billion, five hundred twenty-one million, two hundred thirteen thousand, one hundred forty-four".