212200221200201 has 16 divisors (see below), whose sum is σ = 241966613934864. Its totient is φ = 184354371231744.

The previous prime is 212200221200189. The next prime is 212200221200287. The reversal of 212200221200201 is 102002122002212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2177055985225 + 210023165214976 = 1475485^2 + 14492176^2 .

It is a cyclic number.

It is not a de Polignac number, because 212200221200201 - 2¹⁰ = 212200221199177 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212200221200201.

It is not an unprimeable number, because it can be changed into a prime (212200221800201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79936505 + ... + 82548441.

It is an arithmetic number, because the mean of its divisors is an integer number (15122913370929).

Almost surely, 2^{212200221200201} is an apocalyptic number.

It is an amenable number.

212200221200201 is a deficient number, since it is larger than the sum of its proper divisors (29766392734663).

212200221200201 is a wasteful number, since it uses less digits than its factorization.

212200221200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979580.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212200221200201 its reverse (102002122002212), we get a palindrome (314202343202413).

The spelling of 212200221200201 in words is "two hundred twelve trillion, two hundred billion, two hundred twenty-one million, two hundred thousand, two hundred one".