200201102121020 has 576 divisors, whose sum is σ = 601950534635520. Its totient is φ = 54910188748800.

The previous prime is 200201102121019. The next prime is 200201102121091. The reversal of 200201102121020 is 20121201102002.

200201102121020 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 200201102120986 and 200201102121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290726876 + ... + 291414684.

It is an arithmetic number, because the mean of its divisors is an integer number (1045053011520).

Almost surely, 2^{200201102121020} is an apocalyptic number.

200201102121020 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 200201102121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300975267317760).

200201102121020 is an abundant number, since it is smaller than the sum of its proper divisors (401749432514500).

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

200201102121020 is a wasteful number, since it uses less digits than its factorization.

200201102121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687954 (or 687945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200201102121020 its reverse (20121201102002), we get a palindrome (220322303223022).

The spelling of 200201102121020 in words is "two hundred trillion, two hundred one billion, one hundred two million, one hundred twenty-one thousand, twenty".