21200110120 has 128 divisors (see below), whose sum is σ = 58214246400. Its totient is φ = 6791500800.

The previous prime is 21200110109. The next prime is 21200110121. The reversal of 21200110120 is 2101100212.

It is a super-3 number, since 3×21200110120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21200110097 and 21200110106.

It is not an unprimeable number, because it can be changed into a prime (21200110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209610 + ... + 293830.

It is an arithmetic number, because the mean of its divisors is an integer number (454798800).

Almost surely, 2^21200110120 is an apocalyptic number.

21200110120 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 21200110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29107123200).

21200110120 is an abundant number, since it is smaller than the sum of its proper divisors (37014136280).

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

21200110120 is a wasteful number, since it uses less digits than its factorization.

21200110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84299 (or 84295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21200110120 its reverse (2101100212), we get a palindrome (23301210332).

The spelling of 21200110120 in words is "twenty-one billion, two hundred million, one hundred ten thousand, one hundred twenty".