111101130113201 has 2 divisors, whose sum is σ = 111101130113202. Its totient is φ = 111101130113200.

The previous prime is 111101130113179. The next prime is 111101130113203. The reversal of 111101130113201 is 102311031101111.

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., 73980624237601 + 37120505875600 = 8601199^2 + 6092660^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101130113201 - 2³⁴ = 111083950244017 is a prime.

It is a super-2 number, since 2×111101130113201² (a number of 29 digits) contains 22 as substring.

Together with 111101130113203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101130113201.

It is not a weakly prime, because it can be changed into another prime (111101130113203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550565056600 + 55550565056601.

It is an arithmetic number, because the mean of its divisors is an integer number (55550565056601).

Almost surely, 2^{111101130113201} is an apocalyptic number.

It is an amenable number.

111101130113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101130113201 is an equidigital number, since it uses as much as digits as its factorization.

111101130113201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 111101130113201 its reverse (102311031101111), we get a palindrome (213412161214312).

The spelling of 111101130113201 in words is "one hundred eleven trillion, one hundred one billion, one hundred thirty million, one hundred thirteen thousand, two hundred one".