112112001210121 has 8 divisors (see below), whose sum is σ = 122369509645344. Its totient is φ = 101865410829120.

The previous prime is 112112001210089. The next prime is 112112001210169. The reversal of 112112001210121 is 121012100211211.

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 112112001210121 - 2⁵ = 112112001210089 is a prime.

It is a Duffinian number.

112112001210121 is a modest number, since divided by 1210121 gives 1121120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 112112001210095 and 112112001210104.

It is not an unprimeable number, because it can be changed into a prime (112112001210721) 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 7 ways as a sum of consecutive naturals, for example, 2729492080 + ... + 2729533153.

It is an arithmetic number, because the mean of its divisors is an integer number (15296188705668).

Almost surely, 2^{112112001210121} is an apocalyptic number.

112112001210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112001210121 is a deficient number, since it is larger than the sum of its proper divisors (10257508435223).

112112001210121 is a wasteful number, since it uses less digits than its factorization.

112112001210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459027111.

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

Adding to 112112001210121 its reverse (121012100211211), we get a palindrome (233124101421332).

The spelling of 112112001210121 in words is "one hundred twelve trillion, one hundred twelve billion, one million, two hundred ten thousand, one hundred twenty-one".