112211011000201 has 2 divisors, whose sum is σ = 112211011000202. Its totient is φ = 112211011000200.

The previous prime is 112211011000171. The next prime is 112211011000217. The reversal of 112211011000201 is 102000110112211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106487457164176 + 5723553836025 = 10319276^2 + 2392395^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211011000201 - 2²³ = 112211002611593 is a prime.

It is not a weakly prime, because it can be changed into another prime (112211011090201) 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 as a sum of consecutive naturals, namely, 56105505500100 + 56105505500101.

It is an arithmetic number, because the mean of its divisors is an integer number (56105505500101).

Almost surely, 2^{112211011000201} is an apocalyptic number.

It is an amenable number.

112211011000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211011000201 is an equidigital number, since it uses as much as digits as its factorization.

112211011000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112211011000201 its reverse (102000110112211), we get a palindrome (214211121112412).

The spelling of 112211011000201 in words is "one hundred twelve trillion, two hundred eleven billion, eleven million, two hundred one", and thus it is an aban number.