21101232100320 has 72 divisors (see below), whose sum is σ = 72007954547256. Its totient is φ = 5626995226368.

The previous prime is 21101232100303. The next prime is 21101232100339. The reversal of 21101232100320 is 2300123210112.

21101232100320 is a `hidden beast` number, since 2 + 1 + 10 + 1 + 232 + 100 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 21101232100293 and 21101232100302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7326815262 + ... + 7326818141.

It is an arithmetic number, because the mean of its divisors is an integer number (1000110479823).

Almost surely, 2^{21101232100320} is an apocalyptic number.

21101232100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101232100320 is an abundant number, since it is smaller than the sum of its proper divisors (50906722446936).

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

21101232100320 is a wasteful number, since it uses less digits than its factorization.

21101232100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653633424 (or 14653633413 counting only the distinct ones).

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

Adding to 21101232100320 its reverse (2300123210112), we get a palindrome (23401355310432).

The spelling of 21101232100320 in words is "twenty-one trillion, one hundred one billion, two hundred thirty-two million, one hundred thousand, three hundred twenty".