221001123001 has 2 divisors, whose sum is σ = 221001123002. Its totient is φ = 221001123000.

The previous prime is 221001122999. The next prime is 221001123011. The reversal of 221001123001 is 100321100122.

221001123001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149618108025 + 71383014976 = 386805^2 + 267176^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001123001 - 2¹ = 221001122999 is a prime.

Together with 221001122999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221001123011) 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, 110500561500 + 110500561501.

It is an arithmetic number, because the mean of its divisors is an integer number (110500561501).

Almost surely, 2^221001123001 is an apocalyptic number.

It is an amenable number.

221001123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001123001 is an equidigital number, since it uses as much as digits as its factorization.

221001123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221001123001 its reverse (100321100122), we get a palindrome (321322223123).

The spelling of 221001123001 in words is "two hundred twenty-one billion, one million, one hundred twenty-three thousand, one".