112111012121101 has 32 divisors (see below), whose sum is σ = 133672044036096. Its totient is φ = 92003877000000.

The previous prime is 112111012121093. The next prime is 112111012121117. The reversal of 112111012121101 is 101121210111211.

It is not a de Polignac number, because 112111012121101 - 2³ = 112111012121093 is a prime.

It is a super-3 number, since 3×112111012121101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111012121131) 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 31 ways as a sum of consecutive naturals, for example, 26594976 + ... + 30520726.

It is an arithmetic number, because the mean of its divisors is an integer number (4177251376128).

Almost surely, 2^{112111012121101} is an apocalyptic number.

It is an amenable number.

112111012121101 is a deficient number, since it is larger than the sum of its proper divisors (21561031914995).

112111012121101 is a wasteful number, since it uses less digits than its factorization.

112111012121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927193.

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

Adding to 112111012121101 its reverse (101121210111211), we get a palindrome (213232222232312).

The spelling of 112111012121101 in words is "one hundred twelve trillion, one hundred eleven billion, twelve million, one hundred twenty-one thousand, one hundred one".