221010111222001 has 2 divisors, whose sum is σ = 221010111222002. Its totient is φ = 221010111222000.

The previous prime is 221010111221989. The next prime is 221010111222059. The reversal of 221010111222001 is 100222111010122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116722634630625 + 104287476591376 = 10803825^2 + 10212124^2 .

It is a cyclic number.

It is not a de Polignac number, because 221010111222001 - 2⁹ = 221010111221489 is a prime.

It is a super-2 number, since 2×221010111222001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221010111222701) 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, 110505055611000 + 110505055611001.

It is an arithmetic number, because the mean of its divisors is an integer number (110505055611001).

Almost surely, 2^{221010111222001} is an apocalyptic number.

It is an amenable number.

221010111222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010111222001 is an equidigital number, since it uses as much as digits as its factorization.

221010111222001 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 16.

Adding to 221010111222001 its reverse (100222111010122), we get a palindrome (321232222232123).

The spelling of 221010111222001 in words is "two hundred twenty-one trillion, ten billion, one hundred eleven million, two hundred twenty-two thousand, one".