21302113020100 has 288 divisors, whose sum is σ = 51332651500032. Its totient is φ = 7608729600000.

The previous prime is 21302113020091. The next prime is 21302113020101. The reversal of 21302113020100 is 102031120312.

It is a super-2 number, since 2×21302113020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21302113020101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7737780324 + ... + 7737783076.

It is an arithmetic number, because the mean of its divisors is an integer number (178238373264).

Almost surely, 2^{21302113020100} is an apocalyptic number.

21302113020100 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 21302113020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25666325750016).

21302113020100 is an abundant number, since it is smaller than the sum of its proper divisors (30030538479932).

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

21302113020100 is a wasteful number, since it uses less digits than its factorization.

21302113020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21302113020100 its reverse (102031120312), we get a palindrome (21404144140412).

The spelling of 21302113020100 in words is "twenty-one trillion, three hundred two billion, one hundred thirteen million, twenty thousand, one hundred".