221001221020009 has 2 divisors, whose sum is σ = 221001221020010. Its totient is φ = 221001221020008.

The previous prime is 221001221020007. The next prime is 221001221020061. The reversal of 221001221020009 is 900020122100122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160925157754384 + 60076063265625 = 12685628^2 + 7750875^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001221020009 - 2¹ = 221001221020007 is a prime.

Together with 221001221020007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221001221020007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500610510004 + 110500610510005.

It is an arithmetic number, because the mean of its divisors is an integer number (110500610510005).

Almost surely, 2^{221001221020009} is an apocalyptic number.

It is an amenable number.

221001221020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001221020009 is an equidigital number, since it uses as much as digits as its factorization.

221001221020009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 221001221020009 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, twenty thousand, nine".