21502334100120 has 512 divisors, whose sum is σ = 70262349696000. Its totient is φ = 5244190064640.

The previous prime is 21502334100089. The next prime is 21502334100139. The reversal of 21502334100120 is 2100143320512.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4031936974 + ... + 4031942306.

It is an arithmetic number, because the mean of its divisors is an integer number (137231151750).

Almost surely, 2^{21502334100120} is an apocalyptic number.

21502334100120 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 21502334100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35131174848000).

21502334100120 is an abundant number, since it is smaller than the sum of its proper divisors (48760015595880).

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

21502334100120 is a wasteful number, since it uses less digits than its factorization.

21502334100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5799 counting only the distinct ones).

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

Adding to 21502334100120 its reverse (2100143320512), we get a palindrome (23602477420632).

The spelling of 21502334100120 in words is "twenty-one trillion, five hundred two billion, three hundred thirty-four million, one hundred thousand, one hundred twenty".