112121200001101 has 8 divisors (see below), whose sum is σ = 114856581079800. Its totient is φ = 109385853096960.

The previous prime is 112121200001093. The next prime is 112121200001113. The reversal of 112121200001101 is 101100002121211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 954331656201 + 111166868344900 = 976899^2 + 10543570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112121200001101 - 2³ = 112121200001093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121200031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1838506 + ... + 15087163.

It is an arithmetic number, because the mean of its divisors is an integer number (14357072634975).

Almost surely, 2^{112121200001101} is an apocalyptic number.

It is an amenable number.

112121200001101 is a deficient number, since it is larger than the sum of its proper divisors (2735381078699).

112121200001101 is a wasteful number, since it uses less digits than its factorization.

112121200001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087279.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112121200001101 its reverse (101100002121211), we get a palindrome (213221202122312).

The spelling of 112121200001101 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred million, one thousand, one hundred one".