112122012000101 has 8 divisors (see below), whose sum is σ = 112286542170264. Its totient is φ = 111957525146880.

The previous prime is 112122012000071. The next prime is 112122012000127. The reversal of 112122012000101 is 101000210221211.

It can be written as a sum of positive squares in 4 ways, for example, as 8107999977025 + 104014012023076 = 2847455^2 + 10198726^2 .

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 112122012000101 - 2¹⁴ = 112122011983717 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 (112122012050101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5646800 + ... + 16004073.

It is an arithmetic number, because the mean of its divisors is an integer number (14035817771283).

Almost surely, 2^{112122012000101} is an apocalyptic number.

It is an amenable number.

112122012000101 is a deficient number, since it is larger than the sum of its proper divisors (164530170163).

112122012000101 is an equidigital number, since it uses as much as digits as its factorization.

112122012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21658471.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112122012000101 its reverse (101000210221211), we get a palindrome (213122222221312).

The spelling of 112122012000101 in words is "one hundred twelve trillion, one hundred twenty-two billion, twelve million, one hundred one", and thus it is an aban number.