112112111101201 has 16 divisors (see below), whose sum is σ = 120537910805760. Its totient is φ = 103939362103680.

The previous prime is 112112111101189. The next prime is 112112111101213. The reversal of 112112111101201 is 102101111211211.

It is an interprime number because it is at equal distance from previous prime (112112111101189) and next prime (112112111101213).

It is a de Polignac number, because none of the positive numbers 2^k-112112111101201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112112111101241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136605 + ... + 14974741.

It is an arithmetic number, because the mean of its divisors is an integer number (7533619425360).

Almost surely, 2^{112112111101201} is an apocalyptic number.

It is an amenable number.

112112111101201 is a deficient number, since it is larger than the sum of its proper divisors (8425799704559).

112112111101201 is a wasteful number, since it uses less digits than its factorization.

112112111101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14846664.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 112112111101201 its reverse (102101111211211), we get a palindrome (214213222312412).

The spelling of 112112111101201 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred one thousand, two hundred one".