212201012210201 has 24 divisors (see below), whose sum is σ = 261412673603400. Its totient is φ = 171157084826112.

The previous prime is 212201012210197. The next prime is 212201012210233. The reversal of 212201012210201 is 102012210102212.

It can be written as a sum of positive squares in 4 ways, for example, as 103391579467225 + 108809432742976 = 10168165^2 + 10431176^2 .

It is not a de Polignac number, because 212201012210201 - 2² = 212201012210197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 212201012210201.

It is not an unprimeable number, because it can be changed into a prime (212201012210101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17822726 + ... + 27240623.

It is an arithmetic number, because the mean of its divisors is an integer number (10892194733475).

Almost surely, 2^{212201012210201} is an apocalyptic number.

It is an amenable number.

212201012210201 is a deficient number, since it is larger than the sum of its proper divisors (49211661393199).

212201012210201 is a wasteful number, since it uses less digits than its factorization.

212201012210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45069033 (or 45069026 counting only the distinct ones).

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

Adding to 212201012210201 its reverse (102012210102212), we get a palindrome (314213222312413).

The spelling of 212201012210201 in words is "two hundred twelve trillion, two hundred one billion, twelve million, two hundred ten thousand, two hundred one".