212211001200221 has 8 divisors (see below), whose sum is σ = 212584678272120. Its totient is φ = 211837326665472.

The previous prime is 212211001200161. The next prime is 212211001200307. The reversal of 212211001200221 is 122002100112212.

It can be written as a sum of positive squares in 4 ways, for example, as 58103878308100 + 154107122892121 = 7622590^2 + 12413989^2 .

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 212211001200221 - 2³⁸ = 211936123293277 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 212211001200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211001200521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263439161 + ... + 264243473.

It is an arithmetic number, because the mean of its divisors is an integer number (26573084784015).

Almost surely, 2^{212211001200221} is an apocalyptic number.

It is an amenable number.

212211001200221 is a deficient number, since it is larger than the sum of its proper divisors (373677071899).

212211001200221 is an equidigital number, since it uses as much as digits as its factorization.

212211001200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268575.

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

Adding to 212211001200221 its reverse (122002100112212), we get a palindrome (334213101312433).

The spelling of 212211001200221 in words is "two hundred twelve trillion, two hundred eleven billion, one million, two hundred thousand, two hundred twenty-one".