101112120112177 has 2 divisors, whose sum is σ = 101112120112178. Its totient is φ = 101112120112176.

The previous prime is 101112120112027. The next prime is 101112120112217. The reversal of 101112120112177 is 771211021211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94900017488896 + 6212102623281 = 9741664^2 + 2492409^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112120112177 - 2⁴³ = 92316027089969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112120112477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060056088 + 50556060056089.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060056089).

Almost surely, 2^{101112120112177} is an apocalyptic number.

It is an amenable number.

101112120112177 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112120112177 is an equidigital number, since it uses as much as digits as its factorization.

101112120112177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 28.

Adding to 101112120112177 its reverse (771211021211101), we get a palindrome (872323141323278).

The spelling of 101112120112177 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred seventy-seven".