223121301001 has 2 divisors, whose sum is σ = 223121301002. Its totient is φ = 223121301000.

The previous prime is 223121300999. The next prime is 223121301061. The reversal of 223121301001 is 100103121322.

223121301001 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., 132248595600 + 90872705401 = 363660^2 + 301451^2 .

It is a cyclic number.

It is not a de Polignac number, because 223121301001 - 2¹ = 223121300999 is a prime.

It is a super-3 number, since 3×223121301001³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 223121300999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (223121301061) 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, 111560650500 + 111560650501.

It is an arithmetic number, because the mean of its divisors is an integer number (111560650501).

Almost surely, 2^223121301001 is an apocalyptic number.

It is an amenable number.

223121301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223121301001 is an equidigital number, since it uses as much as digits as its factorization.

223121301001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 223121301001 its reverse (100103121322), we get a palindrome (323224422323).

The spelling of 223121301001 in words is "two hundred twenty-three billion, one hundred twenty-one million, three hundred one thousand, one".