21300130022100 has 288 divisors, whose sum is σ = 64021017392640. Its totient is φ = 5464768757760.

The previous prime is 21300130022053. The next prime is 21300130022123. The reversal of 21300130022100 is 122003100312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21300130022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168047349 + ... + 168174051.

It is an arithmetic number, because the mean of its divisors is an integer number (222295199280).

Almost surely, 2^{21300130022100} is an apocalyptic number.

21300130022100 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 21300130022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32010508696320).

21300130022100 is an abundant number, since it is smaller than the sum of its proper divisors (42720887370540).

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

21300130022100 is a wasteful number, since it uses less digits than its factorization.

21300130022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126979 (or 126972 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21300130022100 its reverse (122003100312), we get a palindrome (21422133122412).

The spelling of 21300130022100 in words is "twenty-one trillion, three hundred billion, one hundred thirty million, twenty-two thousand, one hundred".