21042132334100 has 72 divisors (see below), whose sum is σ = 47077994758200. Its totient is φ = 8157504798720.

The previous prime is 21042132334057. The next prime is 21042132334151. The reversal of 21042132334100 is 143323124012.

It can be written as a sum of positive squares in 12 ways, for example, as 354353516176 + 20687778817924 = 595276^2 + 4548382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21042132334100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10113425 + ... + 12015224.

Almost surely, 2^{21042132334100} is an apocalyptic number.

21042132334100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21042132334100 is an abundant number, since it is smaller than the sum of its proper divisors (26035862424100).

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

21042132334100 is a wasteful number, since it uses less digits than its factorization.

21042132334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22128957 (or 22128950 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 21042132334100 its reverse (143323124012), we get a palindrome (21185455458112).

The spelling of 21042132334100 in words is "twenty-one trillion, forty-two billion, one hundred thirty-two million, three hundred thirty-four thousand, one hundred".