21321132102000 has 240 divisors, whose sum is σ = 74473488123840. Its totient is φ = 5685186240000.

The previous prime is 21321132101989. The next prime is 21321132102013. The reversal of 21321132102000 is 20123112312.

21321132102000 is a `hidden beast` number, since 2 + 1 + 321 + 1 + 321 + 0 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21321132102000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271778781 + ... + 271857219.

It is an arithmetic number, because the mean of its divisors is an integer number (310306200516).

Almost surely, 2^{21321132102000} is an apocalyptic number.

21321132102000 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 21321132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37236744061920).

21321132102000 is an abundant number, since it is smaller than the sum of its proper divisors (53152356021840).

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

21321132102000 is a wasteful number, since it uses less digits than its factorization.

21321132102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93569 (or 93550 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21321132102000 its reverse (20123112312), we get a palindrome (21341255214312).

The spelling of 21321132102000 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred thirty-two million, one hundred two thousand".