200201120110020 has 192 divisors, whose sum is σ = 602456818715136. Its totient is φ = 49496526643200.

The previous prime is 200201120109997. The next prime is 200201120110049. The reversal of 200201120110020 is 20011021102002.

200201120110020 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 = 200201120109978 and 200201120110005.

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, 15362649 + ... + 25227231.

It is an arithmetic number, because the mean of its divisors is an integer number (3137795930808).

Almost surely, 2^{200201120110020} is an apocalyptic number.

200201120110020 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 200201120110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301228409357568).

200201120110020 is an abundant number, since it is smaller than the sum of its proper divisors (402255698605116).

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

200201120110020 is a wasteful number, since it uses less digits than its factorization.

200201120110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864910 (or 9864908 counting only the distinct ones).

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

Adding to 200201120110020 its reverse (20011021102002), we get a palindrome (220212141212022).

The spelling of 200201120110020 in words is "two hundred trillion, two hundred one billion, one hundred twenty million, one hundred ten thousand, twenty".