110001001012121 has 6 divisors (see below), whose sum is σ = 116095239295722. Its totient is φ = 104211474642720.

The previous prime is 110001001012109. The next prime is 110001001012207. The reversal of 110001001012121 is 121210100100011.

It can be written as a sum of positive squares in only one way, i.e., 106815614906896 + 3185386105225 = 10335164^2 + 1784765^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110001001012121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001001012921) 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 5 ways as a sum of consecutive naturals, for example, 152355956720 + ... + 152355957441.

It is an arithmetic number, because the mean of its divisors is an integer number (19349206549287).

Almost surely, 2^{110001001012121} is an apocalyptic number.

It is an amenable number.

110001001012121 is a deficient number, since it is larger than the sum of its proper divisors (6094238283601).

110001001012121 is an equidigital number, since it uses as much as digits as its factorization.

110001001012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304711914199 (or 304711914180 counting only the distinct ones).

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

Adding to 110001001012121 its reverse (121210100100011), we get a palindrome (231211101112132).

The spelling of 110001001012121 in words is "one hundred ten trillion, one billion, one million, twelve thousand, one hundred twenty-one".