21321142334200 has 96 divisors (see below), whose sum is σ = 51584223398400. Its totient is φ = 8188932044160.

The previous prime is 21321142334197. The next prime is 21321142334257. The reversal of 21321142334200 is 243324112312.

It is a super-2 number, since 2×21321142334200² (a number of 27 digits) contains 22 as substring.

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, 20502792 + ... + 21517591.

It is an arithmetic number, because the mean of its divisors is an integer number (537335660400).

Almost surely, 2^{21321142334200} is an apocalyptic number.

21321142334200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321142334200 is an abundant number, since it is smaller than the sum of its proper divisors (30263081064200).

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

21321142334200 is a wasteful number, since it uses less digits than its factorization.

21321142334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42020501 (or 42020492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 21321142334200 its reverse (243324112312), we get a palindrome (21564466446512).

The spelling of 21321142334200 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred forty-two million, three hundred thirty-four thousand, two hundred".