212201101020221 has 8 divisors (see below), whose sum is σ = 213764941777464. Its totient is φ = 210637476605440.

The previous prime is 212201101020199. The next prime is 212201101020263. The reversal of 212201101020221 is 122020101102212.

It can be written as a sum of positive squares in 4 ways, for example, as 9302585400196 + 202898515620025 = 3050014^2 + 14244245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212201101020221 - 2¹⁰ = 212201101019197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212201101020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201101020521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52116410 + ... + 56040363.

It is an arithmetic number, because the mean of its divisors is an integer number (26720617722183).

Almost surely, 2^{212201101020221} is an apocalyptic number.

It is an amenable number.

212201101020221 is a deficient number, since it is larger than the sum of its proper divisors (1563840757243).

212201101020221 is a wasteful number, since it uses less digits than its factorization.

212201101020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108171231.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212201101020221 its reverse (122020101102212), we get a palindrome (334221202122433).

The spelling of 212201101020221 in words is "two hundred twelve trillion, two hundred one billion, one hundred one million, twenty thousand, two hundred twenty-one".