212122120201 has 16 divisors (see below), whose sum is σ = 221963878800. Its totient is φ = 202450124800.

The previous prime is 212122120181. The next prime is 212122120267. The reversal of 212122120201 is 102021221212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11260393225 + 200861726976 = 106115^2 + 448176^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122120201 - 2¹⁹ = 212121595913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212122120601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11556291 + ... + 11574631.

It is an arithmetic number, because the mean of its divisors is an integer number (13872742425).

Almost surely, 2^212122120201 is an apocalyptic number.

It is an amenable number.

212122120201 is a deficient number, since it is larger than the sum of its proper divisors (9841758599).

212122120201 is a wasteful number, since it uses less digits than its factorization.

212122120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22940.

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

Adding to 212122120201 its reverse (102021221212), we get a palindrome (314143341413).

The spelling of 212122120201 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".