201020221121020 has 96 divisors (see below), whose sum is σ = 487796468294016. Its totient is φ = 68158827648000.

The previous prime is 201020221121017. The next prime is 201020221121081. The reversal of 201020221121020 is 20121122020102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201020221120985 and 201020221121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728230 + ... + 20394610.

It is an arithmetic number, because the mean of its divisors is an integer number (5081213211396).

Almost surely, 2^{201020221121020} is an apocalyptic number.

201020221121020 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 201020221121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243898234147008).

201020221121020 is an abundant number, since it is smaller than the sum of its proper divisors (286776247172996).

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

201020221121020 is a wasteful number, since it uses less digits than its factorization.

201020221121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16667351 (or 16667349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201020221121020 its reverse (20121122020102), we get a palindrome (221141343141122).

The spelling of 201020221121020 in words is "two hundred one trillion, twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".