21302101100000 has 288 divisors, whose sum is σ = 61301628444672. Its totient is φ = 7133716800000.

The previous prime is 21302101099967. The next prime is 21302101100009. The reversal of 21302101100000 is 110120312.

It is a super-2 number, since 2×21302101100000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302101100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29746145 + ... + 30453855.

It is an arithmetic number, because the mean of its divisors is an integer number (212852876544).

Almost surely, 2^{21302101100000} is an apocalyptic number.

21302101100000 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 21302101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30650814222336).

21302101100000 is an abundant number, since it is smaller than the sum of its proper divisors (39999527344672).

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

21302101100000 is an frugal number, since it uses more digits than its factorization.

21302101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707796 (or 707768 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21302101100000 its reverse (110120312), we get a palindrome (21302211220312).

The spelling of 21302101100000 in words is "twenty-one trillion, three hundred two billion, one hundred one million, one hundred thousand".