21303200100 has 288 divisors, whose sum is σ = 76158625536. Its totient is φ = 4477132800.

The previous prime is 21303200099. The next prime is 21303200117. The reversal of 21303200100 is 100230312.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7669912 + ... + 7672688.

It is an arithmetic number, because the mean of its divisors is an integer number (264439672).

Almost surely, 2^21303200100 is an apocalyptic number.

21303200100 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 21303200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38079312768).

21303200100 is an abundant number, since it is smaller than the sum of its proper divisors (54855425436).

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

21303200100 is a wasteful number, since it uses less digits than its factorization.

21303200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21303200100 its reverse (100230312), we get a palindrome (21403430412).

The spelling of 21303200100 in words is "twenty-one billion, three hundred three million, two hundred thousand, one hundred".