21224320042100 has 288 divisors, whose sum is σ = 58124579788800. Its totient is φ = 6562435622400.

The previous prime is 21224320042091. The next prime is 21224320042147. The reversal of 21224320042100 is 124002342212.

It is a super-3 number, since 3×21224320042100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26997179 + ... + 27772221.

It is an arithmetic number, because the mean of its divisors is an integer number (201821457600).

Almost surely, 2^{21224320042100} is an apocalyptic number.

21224320042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21224320042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29062289894400).

21224320042100 is an abundant number, since it is smaller than the sum of its proper divisors (36900259746700).

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

21224320042100 is a wasteful number, since it uses less digits than its factorization.

21224320042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775183 (or 775176 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 21224320042100 its reverse (124002342212), we get a palindrome (21348322384312).

The spelling of 21224320042100 in words is "twenty-one trillion, two hundred twenty-four billion, three hundred twenty million, forty-two thousand, one hundred".