100222111001101 has 2 divisors, whose sum is σ = 100222111001102. Its totient is φ = 100222111001100.

The previous prime is 100222111001071. The next prime is 100222111001137. The reversal of 100222111001101 is 101100111222001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63357237995076 + 36864873006025 = 7959726^2 + 6071645^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222111001101 - 2⁹ = 100222111000589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222111001501) 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, 50111055500550 + 50111055500551.

It is an arithmetic number, because the mean of its divisors is an integer number (50111055500551).

Almost surely, 2^{100222111001101} is an apocalyptic number.

It is an amenable number.

100222111001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222111001101 is an equidigital number, since it uses as much as digits as its factorization.

100222111001101 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 13.

Adding to 100222111001101 its reverse (101100111222001), we get a palindrome (201322222223102).

The spelling of 100222111001101 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, one thousand, one hundred one".