201120110200020 has 384 divisors, whose sum is σ = 627891080527872. Its totient is φ = 47691865497600.

The previous prime is 201120110200019. The next prime is 201120110200027. The reversal of 201120110200020 is 20002011021102.

201120110200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201120110199969 and 201120110200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120110200027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7174903405 + ... + 7174931435.

It is an arithmetic number, because the mean of its divisors is an integer number (1635133022208).

Almost surely, 2^{201120110200020} is an apocalyptic number.

201120110200020 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 201120110200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313945540263936).

201120110200020 is an abundant number, since it is smaller than the sum of its proper divisors (426770970327852).

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

201120110200020 is a wasteful number, since it uses less digits than its factorization.

201120110200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29351 (or 29349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120110200020 its reverse (20002011021102), we get a palindrome (221122121221122).

It can be divided in two parts, 2011201 and 10200020, that added together give a palindrome (12211221).

The spelling of 201120110200020 in words is "two hundred one trillion, one hundred twenty billion, one hundred ten million, two hundred thousand, twenty".