21011300300100 has 576 divisors, whose sum is σ = 69725967252480. Its totient is φ = 4840257945600.

The previous prime is 21011300300021. The next prime is 21011300300161. The reversal of 21011300300100 is 100300311012.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 812080764 + ... + 812106636.

It is an arithmetic number, because the mean of its divisors is an integer number (121052026480).

Almost surely, 2^{21011300300100} is an apocalyptic number.

21011300300100 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 21011300300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34862983626240).

21011300300100 is an abundant number, since it is smaller than the sum of its proper divisors (48714666952380).

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

21011300300100 is a wasteful number, since it uses less digits than its factorization.

21011300300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26100 (or 26093 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 21011300300100 its reverse (100300311012), we get a palindrome (21111600611112).

The spelling of 21011300300100 in words is "twenty-one trillion, eleven billion, three hundred million, three hundred thousand, one hundred".