21214241100 has 216 divisors, whose sum is σ = 72963111312. Its totient is φ = 5123289600.

The previous prime is 21214241089. The next prime is 21214241123. The reversal of 21214241100 is 114241212.

21214241100 is a `hidden beast` number, since 212 + 1 + 42 + 411 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 602995 + ... + 637205.

It is an arithmetic number, because the mean of its divisors is an integer number (337792182).

Almost surely, 2^21214241100 is an apocalyptic number.

21214241100 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 21214241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36481555656).

21214241100 is an abundant number, since it is smaller than the sum of its proper divisors (51748870212).

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

21214241100 is a wasteful number, since it uses less digits than its factorization.

21214241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34297 (or 34287 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21214241100 its reverse (114241212), we get a palindrome (21328482312).

The spelling of 21214241100 in words is "twenty-one billion, two hundred fourteen million, two hundred forty-one thousand, one hundred".