16112122101121 has 2 divisors, whose sum is σ = 16112122101122. Its totient is φ = 16112122101120.

The previous prime is 16112122101077. The next prime is 16112122101137. The reversal of 16112122101121 is 12110122121161.

16112122101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10819527383025 + 5292594718096 = 3289305^2 + 2300564^2 .

It is a cyclic number.

It is not a de Polignac number, because 16112122101121 - 2⁹ = 16112122100609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16112122101092 and 16112122101101.

It is not a weakly prime, because it can be changed into another prime (16112122101181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8056061050560 + 8056061050561.

It is an arithmetic number, because the mean of its divisors is an integer number (8056061050561).

Almost surely, 2^{16112122101121} is an apocalyptic number.

It is an amenable number.

16112122101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

16112122101121 is an equidigital number, since it uses as much as digits as its factorization.

16112122101121 is an evil number, because the sum of its binary digits is even.

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

Adding to 16112122101121 its reverse (12110122121161), we get a palindrome (28222244222282).

The spelling of 16112122101121 in words is "sixteen trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".