16112122102057 has 2 divisors, whose sum is σ = 16112122102058. Its totient is φ = 16112122102056.

The previous prime is 16112122102003. The next prime is 16112122102061. The reversal of 16112122102057 is 75020122121161.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9662051091456 + 6450071010601 = 3108384^2 + 2539699^2 .

It is a cyclic number.

It is not a de Polignac number, because 16112122102057 - 2¹⁵ = 16112122069289 is a prime.

It is not a weakly prime, because it can be changed into another prime (16112122102067) 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, 8056061051028 + 8056061051029.

It is an arithmetic number, because the mean of its divisors is an integer number (8056061051029).

Almost surely, 2^{16112122102057} is an apocalyptic number.

It is an amenable number.

16112122102057 is a deficient number, since it is larger than the sum of its proper divisors (1).

16112122102057 is an equidigital number, since it uses as much as digits as its factorization.

16112122102057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 16112122102057 in words is "sixteen trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, fifty-seven".