112100101201121 has 32 divisors (see below), whose sum is σ = 130675261132800. Its totient is φ = 95163045943680.

The previous prime is 112100101201093. The next prime is 112100101201133. The reversal of 112100101201121 is 121102101001211.

It is a de Polignac number, because none of the positive numbers 2^k-112100101201121 is a prime.

It is a super-3 number, since 3×112100101201121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112100101201096 and 112100101201105.

It is not an unprimeable number, because it can be changed into a prime (112100101201181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29730431 + ... + 33288116.

It is an arithmetic number, because the mean of its divisors is an integer number (4083601910400).

Almost surely, 2^{112100101201121} is an apocalyptic number.

112100101201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100101201121 is a deficient number, since it is larger than the sum of its proper divisors (18575159931679).

112100101201121 is a wasteful number, since it uses less digits than its factorization.

112100101201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63018749.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112100101201121 its reverse (121102101001211), we get a palindrome (233202202202332).

The spelling of 112100101201121 in words is "one hundred twelve trillion, one hundred billion, one hundred one million, two hundred one thousand, one hundred twenty-one".