1110111114001 has 8 divisors (see below), whose sum is σ = 1136917014120. Its totient is φ = 1083522266112.

The previous prime is 1110111113963. The next prime is 1110111114011. The reversal of 1110111114001 is 1004111110111.

It can be written as a sum of positive squares in 4 ways, for example, as 40797940225 + 1069313173776 = 201985^2 + 1034076^2 .

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 1110111114001 - 2¹³ = 1110111105809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1110111114011) 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, 54252706 + ... + 54273163.

It is an arithmetic number, because the mean of its divisors is an integer number (142114626765).

Almost surely, 2^{1110111114001} is an apocalyptic number.

It is an amenable number.

1110111114001 is a deficient number, since it is larger than the sum of its proper divisors (26805900119).

1110111114001 is a wasteful number, since it uses less digits than its factorization.

1110111114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108526115.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1110111114001 its reverse (1004111110111), we get a palindrome (2114222224112).

The spelling of 1110111114001 in words is "one trillion, one hundred ten billion, one hundred eleven million, one hundred fourteen thousand, one".