21131121301120 has 128 divisors (see below), whose sum is σ = 53491097215440. Its totient is φ = 7954807455744.

The previous prime is 21131121301097. The next prime is 21131121301123. The reversal of 21131121301120 is 2110312113112.

It can be written as a sum of positive squares in 8 ways, for example, as 10486353733696 + 10644767567424 = 3238264^2 + 3262632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21131121301123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252080334 + ... + 252164146.

Almost surely, 2^{21131121301120} is an apocalyptic number.

21131121301120 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 21131121301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745548607720).

21131121301120 is an abundant number, since it is smaller than the sum of its proper divisors (32359975914320).

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

21131121301120 is a wasteful number, since it uses less digits than its factorization.

21131121301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107022 (or 107010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21131121301120 its reverse (2110312113112), we get a palindrome (23241433414232).

The spelling of 21131121301120 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred one thousand, one hundred twenty".