101112120112249 has 2 divisors, whose sum is σ = 101112120112250. Its totient is φ = 101112120112248.

The previous prime is 101112120112217. The next prime is 101112120112259. The reversal of 101112120112249 is 942211021211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100885310812224 + 226809300025 = 10044168^2 + 476245^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112120112249 - 2⁵ = 101112120112217 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112120112259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060056124 + 50556060056125.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060056125).

Almost surely, 2^{101112120112249} is an apocalyptic number.

It is an amenable number.

101112120112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112120112249 is an equidigital number, since it uses as much as digits as its factorization.

101112120112249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 101112120112249 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred forty-nine".