112072949201 has 2 divisors, whose sum is σ = 112072949202. Its totient is φ = 112072949200.

The previous prime is 112072949179. The next prime is 112072949227. The reversal of 112072949201 is 102949270211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96808099600 + 15264849601 = 311140^2 + 123551^2 .

It is an emirp because it is prime and its reverse (102949270211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112072949201 is a prime.

It is not a weakly prime, because it can be changed into another prime (112072946201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56036474600 + 56036474601.

It is an arithmetic number, because the mean of its divisors is an integer number (56036474601).

Almost surely, 2^112072949201 is an apocalyptic number.

It is an amenable number.

112072949201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112072949201 is an equidigital number, since it uses as much as digits as its factorization.

112072949201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 112072949201 in words is "one hundred twelve billion, seventy-two million, nine hundred forty-nine thousand, two hundred one".