21010432142224 has 160 divisors (see below), whose sum is σ = 49566657888000. Its totient is φ = 8422153420800.

The previous prime is 21010432142179. The next prime is 21010432142237. The reversal of 21010432142224 is 42224123401012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21010432142192 and 21010432142201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205331427 + ... + 205433725.

It is an arithmetic number, because the mean of its divisors is an integer number (309791611800).

Almost surely, 2^{21010432142224} 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 21010432142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783328944000).

21010432142224 is an abundant number, since it is smaller than the sum of its proper divisors (28556225745776).

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

21010432142224 is a wasteful number, since it uses less digits than its factorization.

21010432142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103001 (or 102995 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 21010432142224 its reverse (42224123401012), we get a palindrome (63234555543236).

The spelling of 21010432142224 in words is "twenty-one trillion, ten billion, four hundred thirty-two million, one hundred forty-two thousand, two hundred twenty-four".