10211332320 has 144 divisors (see below), whose sum is σ = 39824235360. Its totient is φ = 2334016512.

The previous prime is 10211332301. The next prime is 10211332321. The reversal of 10211332320 is 2323311201.

10211332320 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10211332293 and 10211332302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211332321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496435 + ... + 516594.

It is an arithmetic number, because the mean of its divisors is an integer number (276557190).

Almost surely, 2^10211332320 is an apocalyptic number.

10211332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211332320 is an abundant number, since it is smaller than the sum of its proper divisors (29612903040).

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

10211332320 is a wasteful number, since it uses less digits than its factorization.

10211332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013057 (or 1013046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10211332320 its reverse (2323311201), we get a palindrome (12534643521).

The spelling of 10211332320 in words is "ten billion, two hundred eleven million, three hundred thirty-two thousand, three hundred twenty".