101111222122303 has 2 divisors, whose sum is σ = 101111222122304. Its totient is φ = 101111222122302.

The previous prime is 101111222122289. The next prime is 101111222122319. The reversal of 101111222122303 is 303221222111101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101111222122303 - 2¹⁷ = 101111221991231 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111222122363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555611061151 + 50555611061152.

It is an arithmetic number, because the mean of its divisors is an integer number (50555611061152).

Almost surely, 2^{101111222122303} is an apocalyptic number.

101111222122303 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111222122303 is an equidigital number, since it uses as much as digits as its factorization.

101111222122303 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101111222122303 its reverse (303221222111101), we get a palindrome (404332444233404).

The spelling of 101111222122303 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred three".