21131100 has 108 divisors (see below), whose sum is σ = 67636296. Its totient is φ = 5516160.

The previous prime is 21131087. The next prime is 21131137. The reversal of 21131100 is 113112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47479 + ... + 47921.

It is an arithmetic number, because the mean of its divisors is an integer number (626262).

Almost surely, 2^21131100 is an apocalyptic number.

21131100 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 21131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33818148).

21131100 is an abundant number, since it is smaller than the sum of its proper divisors (46505196).

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

21131100 is a wasteful number, since it uses less digits than its factorization.

21131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 21131100 is about 4596.8576223329. The cubic root of 21131100 is about 276.4653460336.

Adding to 21131100 its reverse (113112), we get a palindrome (21244212).

The spelling of 21131100 in words is "twenty-one million, one hundred thirty-one thousand, one hundred".