21201110111120 has 20 divisors (see below), whose sum is σ = 49292581008540. Its totient is φ = 8480444044416.

The previous prime is 21201110111117. The next prime is 21201110111141. The reversal of 21201110111120 is 2111101110212.

It can be written as a sum of positive squares in 2 ways, for example, as 4606208779264 + 16594901331856 = 2146208^2 + 4073684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 21201110111095 and 21201110111104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132506938115 + ... + 132506938274.

It is an arithmetic number, because the mean of its divisors is an integer number (2464629050427).

Almost surely, 2^{21201110111120} is an apocalyptic number.

21201110111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201110111120 is an abundant number, since it is smaller than the sum of its proper divisors (28091470897420).

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

21201110111120 is a wasteful number, since it uses less digits than its factorization.

21201110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265013876402 (or 265013876396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21201110111120 its reverse (2111101110212), we get a palindrome (23312211221332).

The spelling of 21201110111120 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".