110111201022001 has 32 divisors (see below), whose sum is σ = 117487499500800. Its totient is φ = 102901588392960.

The previous prime is 110111201021929. The next prime is 110111201022013. The reversal of 110111201022001 is 100220102111011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110111201022001 - 2⁷ = 110111201021873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111201023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6789854445 + ... + 6789870661.

It is an arithmetic number, because the mean of its divisors is an integer number (3671484359400).

Almost surely, 2^{110111201022001} is an apocalyptic number.

It is an amenable number.

110111201022001 is a deficient number, since it is larger than the sum of its proper divisors (7376298478799).

110111201022001 is a wasteful number, since it uses less digits than its factorization.

110111201022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30649.

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

Adding to 110111201022001 its reverse (100220102111011), we get a palindrome (210331303133012).

The spelling of 110111201022001 in words is "one hundred ten trillion, one hundred eleven billion, two hundred one million, twenty-two thousand, one".