212000221200001 has 16 divisors (see below), whose sum is σ = 230009232225024. Its totient is φ = 194234685830784.

The previous prime is 212000221199981. The next prime is 212000221200029. The reversal of 212000221200001 is 100002122000212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212000221200001 - 2¹⁹ = 212000220675713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212000221200301) 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 15 ways as a sum of consecutive naturals, for example, 2758866 + ... + 20775268.

It is an arithmetic number, because the mean of its divisors is an integer number (14375577014064).

Almost surely, 2^{212000221200001} is an apocalyptic number.

It is an amenable number.

212000221200001 is a deficient number, since it is larger than the sum of its proper divisors (18009011025023).

212000221200001 is a wasteful number, since it uses less digits than its factorization.

212000221200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18023160.

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

Adding to 212000221200001 its reverse (100002122000212), we get a palindrome (312002343200213).

The spelling of 212000221200001 in words is "two hundred twelve trillion, two hundred twenty-one million, two hundred thousand, one".