21201120112120 has 64 divisors (see below), whose sum is σ = 52464965051520. Its totient is φ = 7661550434304.

The previous prime is 21201120112097. The next prime is 21201120112129. The reversal of 21201120112120 is 2121102110212.

It is a super-2 number, since 2×21201120112120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21201120112094 and 21201120112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201120112129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 433713697 + ... + 433762576.

It is an arithmetic number, because the mean of its divisors is an integer number (819765078930).

Almost surely, 2^{21201120112120} is an apocalyptic number.

21201120112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201120112120 is an abundant number, since it is smaller than the sum of its proper divisors (31263844939400).

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

21201120112120 is a wasteful number, since it uses less digits than its factorization.

21201120112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867476344 (or 867476340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21201120112120 its reverse (2121102110212), we get a palindrome (23322222222332).

The spelling of 21201120112120 in words is "twenty-one trillion, two hundred one billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".