21100759200 has 504 divisors, whose sum is σ = 78238422108. Its totient is φ = 5553930240.

The previous prime is 21100759151. The next prime is 21100759231. The reversal of 21100759200 is 295700112.

It can be written as a sum of positive squares in 6 ways, for example, as 7521052176 + 13579707024 = 86724^2 + 116532^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 83 ways as a sum of consecutive naturals, for example, 56570214 + ... + 56570586.

Almost surely, 2^21100759200 is an apocalyptic number.

21100759200 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 21100759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39119211054).

21100759200 is an abundant number, since it is smaller than the sum of its proper divisors (57137662908).

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

21100759200 is an equidigital number, since it uses as much as digits as its factorization.

21100759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 21100759200 in words is "twenty-one billion, one hundred million, seven hundred fifty-nine thousand, two hundred".