111121102208101 has 2 divisors, whose sum is σ = 111121102208102. Its totient is φ = 111121102208100.

The previous prime is 111121102208093. The next prime is 111121102208111. The reversal of 111121102208101 is 101802201121111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64172500079076 + 46948602129025 = 8010774^2 + 6851905^2 .

It is an emirp because it is prime and its reverse (101802201121111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111121102208101 - 2³ = 111121102208093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111121102208111) 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, 55560551104050 + 55560551104051.

It is an arithmetic number, because the mean of its divisors is an integer number (55560551104051).

Almost surely, 2^{111121102208101} is an apocalyptic number.

It is an amenable number.

111121102208101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121102208101 is an equidigital number, since it uses as much as digits as its factorization.

111121102208101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 111121102208101 its reverse (101802201121111), we get a palindrome (212923303329212).

The spelling of 111121102208101 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred two million, two hundred eight thousand, one hundred one".