112101200000201 has 8 divisors (see below), whose sum is σ = 114883686763944. Its totient is φ = 109321013767680.

The previous prime is 112101200000143. The next prime is 112101200000227. The reversal of 112101200000201 is 102000002101211.

It can be written as a sum of positive squares in 4 ways, for example, as 10335453414400 + 101765746585801 = 3214880^2 + 10087901^2 .

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 112101200000201 - 2⁴² = 107703153489097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112101203000201) 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, 575034140 + ... + 575229053.

It is an arithmetic number, because the mean of its divisors is an integer number (14360460845493).

Almost surely, 2^{112101200000201} is an apocalyptic number.

It is an amenable number.

112101200000201 is a deficient number, since it is larger than the sum of its proper divisors (2782486763743).

112101200000201 is a wasteful number, since it uses less digits than its factorization.

112101200000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150265611.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112101200000201 its reverse (102000002101211), we get a palindrome (214101202101412).

The spelling of 112101200000201 in words is "one hundred twelve trillion, one hundred one billion, two hundred million, two hundred one", and thus it is an aban number.