111121101012161 has 2 divisors, whose sum is σ = 111121101012162. Its totient is φ = 111121101012160.

The previous prime is 111121101012109. The next prime is 111121101012167. The reversal of 111121101012161 is 161210101121111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91017705702400 + 20103395309761 = 9540320^2 + 4483681^2 .

It is a cyclic number.

It is not a de Polignac number, because 111121101012161 - 2³⁸ = 110846223105217 is a prime.

It is not a weakly prime, because it can be changed into another prime (111121101012167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55560550506080 + 55560550506081.

It is an arithmetic number, because the mean of its divisors is an integer number (55560550506081).

Almost surely, 2^{111121101012161} is an apocalyptic number.

It is an amenable number.

111121101012161 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121101012161 is an equidigital number, since it uses as much as digits as its factorization.

111121101012161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 20.

Adding to 111121101012161 its reverse (161210101121111), we get a palindrome (272331202133272).

The spelling of 111121101012161 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, one hundred sixty-one".