21300042100 has 18 divisors (see below), whose sum is σ = 46221091574. Its totient is φ = 8520016800.

The previous prime is 21300042097. The next prime is 21300042149. The reversal of 21300042100 is 124000312.

It can be written as a sum of positive squares in 3 ways, for example, as 824149264 + 20475892836 = 28708^2 + 143094^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 106500111 + ... + 106500310.

Almost surely, 2^21300042100 is an apocalyptic number.

21300042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300042100 is an abundant number, since it is smaller than the sum of its proper divisors (24921049474).

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

21300042100 is a wasteful number, since it uses less digits than its factorization.

21300042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213000435 (or 213000428 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21300042100 its reverse (124000312), we get a palindrome (21424042412).

The spelling of 21300042100 in words is "twenty-one billion, three hundred million, forty-two thousand, one hundred".