201200201010120 has 256 divisors, whose sum is σ = 656510778604800. Its totient is φ = 49032602726400.

The previous prime is 201200201010113. The next prime is 201200201010131. The reversal of 201200201010120 is 21010102002102.

201200201010120 is digitally balanced in base 2, 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 = 201200201010096 and 201200201010105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3110044494 + ... + 3110109186.

It is an arithmetic number, because the mean of its divisors is an integer number (2564495228925).

Almost surely, 2^{201200201010120} is an apocalyptic number.

201200201010120 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 201200201010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328255389302400).

201200201010120 is an abundant number, since it is smaller than the sum of its proper divisors (455310577594680).

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

201200201010120 is a wasteful number, since it uses less digits than its factorization.

201200201010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84560 (or 84556 counting only the distinct ones).

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

Adding to 201200201010120 its reverse (21010102002102), we get a palindrome (222210303012222).

The spelling of 201200201010120 in words is "two hundred one trillion, two hundred billion, two hundred one million, ten thousand, one hundred twenty".