21300002100 has 216 divisors, whose sum is σ = 76129424280. Its totient is φ = 4934615040.

The previous prime is 21300002077. The next prime is 21300002137. The reversal of 21300002100 is 120000312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11311598736 + 9988403364 = 106356^2 + 99942^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145356 + ... + 252444.

Almost surely, 2^21300002100 is an apocalyptic number.

21300002100 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 21300002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38064712140).

21300002100 is an abundant number, since it is smaller than the sum of its proper divisors (54829422180).

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

21300002100 is a wasteful number, since it uses less digits than its factorization.

21300002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107139 (or 107129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21300002100 its reverse (120000312), we get a palindrome (21420002412).

The spelling of 21300002100 in words is "twenty-one billion, three hundred million, two thousand, one hundred".