21101400323520 has 896 divisors, whose sum is σ = 78050105763840. Its totient is φ = 4773477089280.

The previous prime is 21101400323491. The next prime is 21101400323567. The reversal of 21101400323520 is 2532300410112.

It is a super-3 number, since 3×21101400323520³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17058528342 + ... + 17058529578.

It is an arithmetic number, because the mean of its divisors is an integer number (87109493040).

Almost surely, 2^{21101400323520} is an apocalyptic number.

21101400323520 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 21101400323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39025052881920).

21101400323520 is an abundant number, since it is smaller than the sum of its proper divisors (56948705440320).

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

21101400323520 is a wasteful number, since it uses less digits than its factorization.

21101400323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21101400323520 its reverse (2532300410112), we get a palindrome (23633700733632).

The spelling of 21101400323520 in words is "twenty-one trillion, one hundred one billion, four hundred million, three hundred twenty-three thousand, five hundred twenty".