212201220120201 has 48 divisors (see below), whose sum is σ = 352714386744720. Its totient is φ = 121776315494400.

The previous prime is 212201220120179. The next prime is 212201220120229. The reversal of 212201220120201 is 102021022102212.

It is a happy number.

212201220120201 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 220 + 1 + 20 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8700724190601 + 203500495929600 = 2949699^2 + 14265360^2 .

It is not a de Polignac number, because 212201220120201 - 2⁹ = 212201220119689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201220620201) 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, 489174900 + ... + 489608501.

It is an arithmetic number, because the mean of its divisors is an integer number (7348216390515).

Almost surely, 2^{212201220120201} is an apocalyptic number.

It is an amenable number.

212201220120201 is a deficient number, since it is larger than the sum of its proper divisors (140513166624519).

212201220120201 is a wasteful number, since it uses less digits than its factorization.

212201220120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978783546 (or 978783543 counting only the distinct ones).

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

Adding to 212201220120201 its reverse (102021022102212), we get a palindrome (314222242222413).

The spelling of 212201220120201 in words is "two hundred twelve trillion, two hundred one billion, two hundred twenty million, one hundred twenty thousand, two hundred one".