111111101000201 has 8 divisors (see below), whose sum is σ = 114942812329800. Its totient is φ = 107279409274240.

The previous prime is 111111101000197. The next prime is 111111101000219. The reversal of 111111101000201 is 102000101111111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30104710874176 + 81006390126025 = 5486776^2 + 9000355^2 .

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 111111101000201 - 2² = 111111101000197 is a prime.

It is a super-3 number, since 3×111111101000201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111101000261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7131005 + ... + 16524933.

It is an arithmetic number, because the mean of its divisors is an integer number (14367851541225).

Almost surely, 2^{111111101000201} is an apocalyptic number.

It is an amenable number.

111111101000201 is a deficient number, since it is larger than the sum of its proper divisors (3831711329599).

111111101000201 is an equidigital number, since it uses as much as digits as its factorization.

111111101000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801819.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111111101000201 its reverse (102000101111111), we get a palindrome (213111202111312).

The spelling of 111111101000201 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, two hundred one", and thus it is an aban number.