111122122020101 has 2 divisors, whose sum is σ = 111122122020102. Its totient is φ = 111122122020100.

The previous prime is 111122122020089. The next prime is 111122122020139. The reversal of 111122122020101 is 101020221221111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110999183428225 + 122938591876 = 10535615^2 + 350626^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122122020101 - 2³⁸ = 110847244113157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111122122020101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111122122020181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561061010050 + 55561061010051.

It is an arithmetic number, because the mean of its divisors is an integer number (55561061010051).

Almost surely, 2^{111122122020101} is an apocalyptic number.

It is an amenable number.

111122122020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122122020101 is an equidigital number, since it uses as much as digits as its factorization.

111122122020101 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 17.

Adding to 111122122020101 its reverse (101020221221111), we get a palindrome (212142343241212).

The spelling of 111122122020101 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand, one hundred one".