112112011200109 has 2 divisors, whose sum is σ = 112112011200110. Its totient is φ = 112112011200108.

The previous prime is 112112011200053. The next prime is 112112011200149. The reversal of 112112011200109 is 901002110211211.

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., 110475970670025 + 1636040530084 = 10510755^2 + 1279078^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112011200109 - 2⁹ = 112112011199597 is a prime.

It is a super-2 number, since 2×112112011200109² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112112011200109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112112011200149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056005600054 + 56056005600055.

It is an arithmetic number, because the mean of its divisors is an integer number (56056005600055).

Almost surely, 2^{112112011200109} is an apocalyptic number.

It is an amenable number.

112112011200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112011200109 is an equidigital number, since it uses as much as digits as its factorization.

112112011200109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 112112011200109 in words is "one hundred twelve trillion, one hundred twelve billion, eleven million, two hundred thousand, one hundred nine".