221001100012001 has 2 divisors, whose sum is σ = 221001100012002. Its totient is φ = 221001100012000.

The previous prime is 221001100011977. The next prime is 221001100012027. The reversal of 221001100012001 is 100210001100122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198427341107776 + 22573758904225 = 14086424^2 + 4751185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221001100012001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221001100012051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500550006000 + 110500550006001.

It is an arithmetic number, because the mean of its divisors is an integer number (110500550006001).

Almost surely, 2^{221001100012001} is an apocalyptic number.

It is an amenable number.

221001100012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001100012001 is an equidigital number, since it uses as much as digits as its factorization.

221001100012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221001100012001 its reverse (100210001100122), we get a palindrome (321211101112123).

The spelling of 221001100012001 in words is "two hundred twenty-one trillion, one billion, one hundred million, twelve thousand, one".