21033352100 has 72 divisors (see below), whose sum is σ = 46679590440. Its totient is φ = 8223354880.

The previous prime is 21033352079. The next prime is 21033352129. The reversal of 21033352100 is 125333012.

It can be written as a sum of positive squares in 12 ways, for example, as 8477253184 + 12556098916 = 92072^2 + 112054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418324 + ... + 1433076.

It is an arithmetic number, because the mean of its divisors is an integer number (648327645).

Almost surely, 2^21033352100 is an apocalyptic number.

21033352100 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 21033352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339795220).

21033352100 is an abundant number, since it is smaller than the sum of its proper divisors (25646238340).

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

21033352100 is a wasteful number, since it uses less digits than its factorization.

21033352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15089 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 21033352100 its reverse (125333012), we get a palindrome (21158685112).

The spelling of 21033352100 in words is "twenty-one billion, thirty-three million, three hundred fifty-two thousand, one hundred".