21202200100120 has 256 divisors, whose sum is σ = 53595605145600. Its totient is φ = 7494842234880.

The previous prime is 21202200100079. The next prime is 21202200100127. The reversal of 21202200100120 is 2100100220212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21202200100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202200100127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088901985 + ... + 1088921455.

It is an arithmetic number, because the mean of its divisors is an integer number (209357832600).

Almost surely, 2^{21202200100120} is an apocalyptic number.

21202200100120 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 21202200100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26797802572800).

21202200100120 is an abundant number, since it is smaller than the sum of its proper divisors (32393405045480).

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

21202200100120 is a wasteful number, since it uses less digits than its factorization.

21202200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20130 (or 20126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21202200100120 its reverse (2100100220212), we get a palindrome (23302300320332).

The spelling of 21202200100120 in words is "twenty-one trillion, two hundred two billion, two hundred million, one hundred thousand, one hundred twenty".