112012121112101 has 6 divisors (see below), whose sum is σ = 130299814354950. Its totient is φ = 96010389524616.

The previous prime is 112012121112079. The next prime is 112012121112127. The reversal of 112012121112101 is 101211121210211.

It can be written as a sum of positive squares in only one way, i.e., 60683866300225 + 51328254811876 = 7789985^2 + 7164374^2 .

It is not a de Polignac number, because 112012121112101 - 2²² = 112012116917797 is a prime.

It is a super-3 number, since 3×112012121112101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112012121112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012121112701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1142980827626 + ... + 1142980827723.

It is an arithmetic number, because the mean of its divisors is an integer number (21716635725825).

Almost surely, 2^{112012121112101} is an apocalyptic number.

It is an amenable number.

112012121112101 is a deficient number, since it is larger than the sum of its proper divisors (18287693242849).

112012121112101 is an equidigital number, since it uses as much as digits as its factorization.

112012121112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285961655363 (or 2285961655356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112012121112101 its reverse (101211121210211), we get a palindrome (213223242322312).

The spelling of 112012121112101 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".