112122313310101 has 8 divisors (see below), whose sum is σ = 112348461543320. Its totient is φ = 111896275212288.

The previous prime is 112122313310047. The next prime is 112122313310107. The reversal of 112122313310101 is 101013313221211.

It can be written as a sum of positive squares in 4 ways, for example, as 8713772648100 + 103408540662001 = 2951910^2 + 10168999^2 .

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 112122313310101 - 2¹¹ = 112122313308053 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 (112122313310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25495566 + ... + 29568031.

It is an arithmetic number, because the mean of its divisors is an integer number (14043557692915).

Almost surely, 2^{112122313310101} is an apocalyptic number.

It is an amenable number.

112122313310101 is a deficient number, since it is larger than the sum of its proper divisors (226148233219).

112122313310101 is an equidigital number, since it uses as much as digits as its factorization.

112122313310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55067703.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 112122313310101 its reverse (101013313221211), we get a palindrome (213135626531312).

The spelling of 112122313310101 in words is "one hundred twelve trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred ten thousand, one hundred one".