212200020121 has 16 divisors (see below), whose sum is σ = 215280450000. Its totient is φ = 209136254976.

The previous prime is 212200020083. The next prime is 212200020133. The reversal of 212200020121 is 121020002212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74365290000 + 137834730121 = 272700^2 + 371261^2 .

It is a cyclic number.

It is not a de Polignac number, because 212200020121 - 2²¹ = 212197922969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212200020161) 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, 38940205 + ... + 38945653.

It is an arithmetic number, because the mean of its divisors is an integer number (13455028125).

Almost surely, 2^212200020121 is an apocalyptic number.

It is an amenable number.

212200020121 is a deficient number, since it is larger than the sum of its proper divisors (3080429879).

212200020121 is an equidigital number, since it uses as much as digits as its factorization.

212200020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212200020121 its reverse (121020002212), we get a palindrome (333220022333).

The spelling of 212200020121 in words is "two hundred twelve billion, two hundred million, twenty thousand, one hundred twenty-one".