120100012112117 has 2 divisors, whose sum is σ = 120100012112118. Its totient is φ = 120100012112116.

The previous prime is 120100012112099. The next prime is 120100012112123. The reversal of 120100012112117 is 711211210001021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114991865177476 + 5108146934641 = 10723426^2 + 2260121^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100012112117 - 2⁶ = 120100012112053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120100012112167) 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, 60050006056058 + 60050006056059.

It is an arithmetic number, because the mean of its divisors is an integer number (60050006056059).

Almost surely, 2^{120100012112117} is an apocalyptic number.

It is an amenable number.

120100012112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100012112117 is an equidigital number, since it uses as much as digits as its factorization.

120100012112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 120100012112117 its reverse (711211210001021), we get a palindrome (831311222113138).

The spelling of 120100012112117 in words is "one hundred twenty trillion, one hundred billion, twelve million, one hundred twelve thousand, one hundred seventeen".