21120100 has 36 divisors (see below), whose sum is σ = 46219264. Its totient is φ = 8376480.

The previous prime is 21120089. The next prime is 21120109. The reversal of 21120100 is 102112.

It is not an unprimeable number, because it can be changed into a prime (21120109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11869 + ... + 13531.

Almost surely, 2^21120100 is an apocalyptic number.

21120100 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 21120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109632).

21120100 is an abundant number, since it is smaller than the sum of its proper divisors (25099164).

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

21120100 is a wasteful number, since it uses less digits than its factorization.

21120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 21120100 is about 4595.6609970710. The cubic root of 21120100 is about 276.4173654639.

Adding to 21120100 its reverse (102112), we get a palindrome (21222212).

The spelling of 21120100 in words is "twenty-one million, one hundred twenty thousand, one hundred".