21200111210120 has 128 divisors (see below), whose sum is σ = 48846667161600. Its totient is φ = 8277227794176.

The previous prime is 21200111210107. The next prime is 21200111210129. The reversal of 21200111210120 is 2101211100212.

21200111210120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 21200111210095 and 21200111210104.

It is not an unprimeable number, because it can be changed into a prime (21200111210129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910899999 + ... + 2910907281.

It is an arithmetic number, because the mean of its divisors is an integer number (381614587200).

Almost surely, 2^{21200111210120} is an apocalyptic number.

21200111210120 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 21200111210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24423333580800).

21200111210120 is an abundant number, since it is smaller than the sum of its proper divisors (27646555951480).

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

21200111210120 is a wasteful number, since it uses less digits than its factorization.

21200111210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11303 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21200111210120 its reverse (2101211100212), we get a palindrome (23301322310332).

The spelling of 21200111210120 in words is "twenty-one trillion, two hundred billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".