112101012122161 has 2 divisors, whose sum is σ = 112101012122162. Its totient is φ = 112101012122160.

The previous prime is 112101012122137. The next prime is 112101012122221. The reversal of 112101012122161 is 161221210101211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105303389921536 + 6797622200625 = 10261744^2 + 2607225^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101012122161 - 2⁹ = 112101012121649 is a prime.

It is not a weakly prime, because it can be changed into another prime (112101012152161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050506061080 + 56050506061081.

It is an arithmetic number, because the mean of its divisors is an integer number (56050506061081).

Almost surely, 2^{112101012122161} is an apocalyptic number.

It is an amenable number.

112101012122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101012122161 is an equidigital number, since it uses as much as digits as its factorization.

112101012122161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 112101012122161 its reverse (161221210101211), we get a palindrome (273322222223372).

The spelling of 112101012122161 in words is "one hundred twelve trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, one hundred sixty-one".