221000100222001 has 2 divisors, whose sum is σ = 221000100222002. Its totient is φ = 221000100222000.

The previous prime is 221000100221969. The next prime is 221000100222029. The reversal of 221000100222001 is 100222001000122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220052777598976 + 947322623025 = 14834176^2 + 973305^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000100222001 - 2⁵ = 221000100221969 is a prime.

It is not a weakly prime, because it can be changed into another prime (221000100222071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500050111000 + 110500050111001.

It is an arithmetic number, because the mean of its divisors is an integer number (110500050111001).

Almost surely, 2^{221000100222001} is an apocalyptic number.

It is an amenable number.

221000100222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000100222001 is an equidigital number, since it uses as much as digits as its factorization.

221000100222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221000100222001 its reverse (100222001000122), we get a palindrome (321222101222123).

The spelling of 221000100222001 in words is "two hundred twenty-one trillion, one hundred million, two hundred twenty-two thousand, one".