201020212012221 has 48 divisors (see below), whose sum is σ = 348737468137344. Its totient is φ = 109164967373952.

The previous prime is 201020212012219. The next prime is 201020212012273. The reversal of 201020212012221 is 122210212020102.

It is a happy number.

201020212012221 is a `hidden beast` number, since 201 + 0 + 20 + 21 + 201 + 2 + 221 = 666.

It is not a de Polignac number, because 201020212012221 - 2¹ = 201020212012219 is a prime.

It is a super-3 number, since 3×201020212012221³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201020212012194 and 201020212012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020212011221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002664386 + ... + 1002864851.

It is an arithmetic number, because the mean of its divisors is an integer number (7265363919528).

Almost surely, 2^{201020212012221} is an apocalyptic number.

201020212012221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201020212012221 is a deficient number, since it is larger than the sum of its proper divisors (147717256125123).

201020212012221 is a wasteful number, since it uses less digits than its factorization.

201020212012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005529330 (or 2005529327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201020212012221 its reverse (122210212020102), we get a palindrome (323230424032323).

The spelling of 201020212012221 in words is "two hundred one trillion, twenty billion, two hundred twelve million, twelve thousand, two hundred twenty-one".