110110001122001 has 4 divisors (see below), whose sum is σ = 110111027714100. Its totient is φ = 110108974529904.

The previous prime is 110110001121949. The next prime is 110110001122063. The reversal of 110110001122001 is 100221100011011.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48875479210000 + 61234521912001 = 6991100^2 + 7825249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110001122001 is a prime.

It is a super-2 number, since 2×110110001122001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110001122091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 513135146 + ... + 513349683.

It is an arithmetic number, because the mean of its divisors is an integer number (27527756928525).

Almost surely, 2^{110110001122001} is an apocalyptic number.

It is an amenable number.

110110001122001 is a deficient number, since it is larger than the sum of its proper divisors (1026592099).

110110001122001 is a wasteful number, since it uses less digits than its factorization.

110110001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026592098.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110110001122001 its reverse (100221100011011), we get a palindrome (210331101133012).

The spelling of 110110001122001 in words is "one hundred ten trillion, one hundred ten billion, one million, one hundred twenty-two thousand, one".