212001222202001 has 2 divisors, whose sum is σ = 212001222202002. Its totient is φ = 212001222202000.

The previous prime is 212001222201971. The next prime is 212001222202093. The reversal of 212001222202001 is 100202222100212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196208935651600 + 15792286550401 = 14007460^2 + 3973951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212001222202001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212001222292001) 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 as a sum of consecutive naturals, namely, 106000611101000 + 106000611101001.

It is an arithmetic number, because the mean of its divisors is an integer number (106000611101001).

Almost surely, 2^{212001222202001} is an apocalyptic number.

It is an amenable number.

212001222202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001222202001 is an equidigital number, since it uses as much as digits as its factorization.

212001222202001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212001222202001 its reverse (100202222100212), we get a palindrome (312203444302213).

The spelling of 212001222202001 in words is "two hundred twelve trillion, one billion, two hundred twenty-two million, two hundred two thousand, one".