21100120121300 has 144 divisors (see below), whose sum is σ = 50014533240000. Its totient is φ = 7662825139200.

The previous prime is 21100120121279. The next prime is 21100120121329. The reversal of 21100120121300 is 312102100112.

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, 4961229974 + ... + 4961234226.

It is an arithmetic number, because the mean of its divisors is an integer number (347323147500).

Almost surely, 2^{21100120121300} is an apocalyptic number.

21100120121300 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 21100120121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007266620000).

21100120121300 is an abundant number, since it is smaller than the sum of its proper divisors (28914413118700).

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

21100120121300 is a wasteful number, since it uses less digits than its factorization.

21100120121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21100120121300 its reverse (312102100112), we get a palindrome (21412222221412).

The spelling of 21100120121300 in words is "twenty-one trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, three hundred".