21224132100 has 216 divisors, whose sum is σ = 67704000000. Its totient is φ = 5560289280.

The previous prime is 21224132099. The next prime is 21224132101. The reversal of 21224132100 is 123142212.

It is a happy number.

21224132100 is a `hidden beast` number, since 21 + 22 + 413 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21224132099) and next prime (21224132101).

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

It is not an unprimeable number, because it can be changed into a prime (21224132101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16992276 + ... + 16993524.

Almost surely, 2^21224132100 is an apocalyptic number.

21224132100 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 21224132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852000000).

21224132100 is an abundant number, since it is smaller than the sum of its proper divisors (46479867900).

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

21224132100 is a wasteful number, since it uses less digits than its factorization.

21224132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21224132100 its reverse (123142212), we get a palindrome (21347274312).

The spelling of 21224132100 in words is "twenty-one billion, two hundred twenty-four million, one hundred thirty-two thousand, one hundred".