21024434102112 has 144 divisors (see below), whose sum is σ = 68330749163040. Its totient is φ = 6006863517696.

The previous prime is 21024434102093. The next prime is 21024434102129. The reversal of 21024434102112 is 21120143442012.

21024434102112 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 4 + 434 + 10 + 211 + 2 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 203025964 + ... + 203129492.

It is an arithmetic number, because the mean of its divisors is an integer number (474519091410).

Almost surely, 2^{21024434102112} is an apocalyptic number.

It is an amenable number.

21024434102112 is an abundant number, since it is smaller than the sum of its proper divisors (47306315060928).

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

21024434102112 is a wasteful number, since it uses less digits than its factorization.

21024434102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204285 (or 204274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21024434102112 its reverse (21120143442012), we get a palindrome (42144577544124).

The spelling of 21024434102112 in words is "twenty-one trillion, twenty-four billion, four hundred thirty-four million, one hundred two thousand, one hundred twelve".