120101200105259 has 2 divisors, whose sum is σ = 120101200105260. Its totient is φ = 120101200105258.

The previous prime is 120101200105151. The next prime is 120101200105297. The reversal of 120101200105259 is 952501002101021.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120101200105259 is a prime.

It is a super-3 number, since 3×120101200105259³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (120101200102259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60050600052629 + 60050600052630.

It is an arithmetic number, because the mean of its divisors is an integer number (60050600052630).

Almost surely, 2^{120101200105259} is an apocalyptic number.

120101200105259 is a deficient number, since it is larger than the sum of its proper divisors (1).

120101200105259 is an equidigital number, since it uses as much as digits as its factorization.

120101200105259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 29.

The spelling of 120101200105259 in words is "one hundred twenty trillion, one hundred one billion, two hundred million, one hundred five thousand, two hundred fifty-nine".