21842752100 has 36 divisors (see below), whose sum is σ = 51044834484. Its totient is φ = 8065015680.

The previous prime is 21842752069. The next prime is 21842752111. The reversal of 21842752100 is 125724812.

It can be written as a sum of positive squares in 6 ways, for example, as 2052452416 + 19790299684 = 45304^2 + 140678^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8399759 + ... + 8402358.

It is an arithmetic number, because the mean of its divisors is an integer number (1417912069).

Almost surely, 2^21842752100 is an apocalyptic number.

21842752100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21842752100 is an abundant number, since it is smaller than the sum of its proper divisors (29202082384).

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

21842752100 is a wasteful number, since it uses less digits than its factorization.

21842752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16802144 (or 16802137 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 21842752100 in words is "twenty-one billion, eight hundred forty-two million, seven hundred fifty-two thousand, one hundred".