10021135320 has 192 divisors, whose sum is σ = 38600190720. Its totient is φ = 2290529664.

The previous prime is 10021135303. The next prime is 10021135331. The reversal of 10021135320 is 2353112001.

10021135320 is a `hidden beast` number, since 100 + 21 + 13 + 532 + 0 = 666.

10021135320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10021135293 and 10021135302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5602 + ... + 141681.

It is an arithmetic number, because the mean of its divisors is an integer number (201042660).

Almost surely, 2^10021135320 is an apocalyptic number.

10021135320 is a gapful number since it is divisible by the number (10) 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 10021135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19300095360).

10021135320 is an abundant number, since it is smaller than the sum of its proper divisors (28579055400).

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

10021135320 is a wasteful number, since it uses less digits than its factorization.

10021135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147316 (or 147300 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10021135320 its reverse (2353112001), we get a palindrome (12374247321).

It can be divided in two parts, 100211 and 35320, that added together give a palindrome (135531).

The spelling of 10021135320 in words is "ten billion, twenty-one million, one hundred thirty-five thousand, three hundred twenty".