21200110021120 has 240 divisors, whose sum is σ = 54144317399040. Its totient is φ = 7959368761344.

The previous prime is 21200110021061. The next prime is 21200110021121. The reversal of 21200110021120 is 2112001100212.

It is a super-3 number, since 3×21200110021120³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21200110021120.

It is not an unprimeable number, because it can be changed into a prime (21200110021121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271482241 + ... + 271560319.

It is an arithmetic number, because the mean of its divisors is an integer number (225601322496).

Almost surely, 2^{21200110021120} is an apocalyptic number.

21200110021120 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 21200110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27072158699520).

21200110021120 is an abundant number, since it is smaller than the sum of its proper divisors (32944207377920).

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

21200110021120 is an equidigital number, since it uses as much as digits as its factorization.

21200110021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78503 (or 78470 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21200110021120 its reverse (2112001100212), we get a palindrome (23312111121332).

The spelling of 21200110021120 in words is "twenty-one trillion, two hundred billion, one hundred ten million, twenty-one thousand, one hundred twenty".