110111001010001 has 8 divisors (see below), whose sum is σ = 110503543631400. Its totient is φ = 109718463272320.

The previous prime is 110111001009959. The next prime is 110111001010159. The reversal of 110111001010001 is 100010100111011.

It can be written as a sum of positive squares in 4 ways, for example, as 93647735334976 + 16463265675025 = 9677176^2 + 4057495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110111001010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111001010301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47396795 + ... + 49665663.

It is an arithmetic number, because the mean of its divisors is an integer number (13812942953925).

Almost surely, 2^{110111001010001} is an apocalyptic number.

It is an amenable number.

110111001010001 is a deficient number, since it is larger than the sum of its proper divisors (392542621399).

110111001010001 is a wasteful number, since it uses less digits than its factorization.

110111001010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441859.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110111001010001 its reverse (100010100111011), we get a palindrome (210121101121012).

The spelling of 110111001010001 in words is "one hundred ten trillion, one hundred eleven billion, one million, ten thousand, one".