21300011100 has 180 divisors, whose sum is σ = 69169130184. Its totient is φ = 5669896320.

The previous prime is 21300011069. The next prime is 21300011101. The reversal of 21300011100 is 111000312.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300011101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5287287 + ... + 5291313.

Almost surely, 2^21300011100 is an apocalyptic number.

21300011100 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 21300011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34584565092).

21300011100 is an abundant number, since it is smaller than the sum of its proper divisors (47869119084).

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

21300011100 is a wasteful number, since it uses less digits than its factorization.

21300011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21300011100 its reverse (111000312), we get a palindrome (21411011412).

The spelling of 21300011100 in words is "twenty-one billion, three hundred million, eleven thousand, one hundred".