221021212001 has 2 divisors, whose sum is σ = 221021212002. Its totient is φ = 221021212000.

The previous prime is 221021211979. The next prime is 221021212021. The reversal of 221021212001 is 100212120122.

221021212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179098240000 + 41922972001 = 423200^2 + 204751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221021212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (221021212021) 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 as a sum of consecutive naturals, namely, 110510606000 + 110510606001.

It is an arithmetic number, because the mean of its divisors is an integer number (110510606001).

Almost surely, 2^221021212001 is an apocalyptic number.

It is an amenable number.

221021212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021212001 is an equidigital number, since it uses as much as digits as its factorization.

221021212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221021212001 its reverse (100212120122), we get a palindrome (321233332123).

The spelling of 221021212001 in words is "two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, one".