111102002112001 has 8 divisors (see below), whose sum is σ = 113817184273800. Its totient is φ = 108387076008960.

The previous prime is 111102002111993. The next prime is 111102002112037. The reversal of 111102002112001 is 100211200201111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12944337534976 + 98157664577025 = 3597824^2 + 9907455^2 .

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 111102002112001 - 2³ = 111102002111993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111102002412001) 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, 63136156 + ... + 64872013.

It is an arithmetic number, because the mean of its divisors is an integer number (14227148034225).

Almost surely, 2^{111102002112001} is an apocalyptic number.

It is an amenable number.

111102002112001 is a deficient number, since it is larger than the sum of its proper divisors (2715182161799).

111102002112001 is a wasteful number, since it uses less digits than its factorization.

111102002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128029379.

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

Adding to 111102002112001 its reverse (100211200201111), we get a palindrome (211313202313112).

The spelling of 111102002112001 in words is "one hundred eleven trillion, one hundred two billion, two million, one hundred twelve thousand, one".