110002121121 has 32 divisors (see below), whose sum is σ = 151712611200. Its totient is φ = 70866132480.

The previous prime is 110002121093. The next prime is 110002121147. The reversal of 110002121121 is 121121200011.

It is not a de Polignac number, because 110002121121 - 2⁷ = 110002120993 is a prime.

It is a super-2 number, since 2×110002121121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110002121097 and 110002121106.

It is not an unprimeable number, because it can be changed into a prime (110002121921) 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, 2535550 + ... + 2578568.

It is an arithmetic number, because the mean of its divisors is an integer number (4741019100).

Almost surely, 2^110002121121 is an apocalyptic number.

It is an amenable number.

110002121121 is a deficient number, since it is larger than the sum of its proper divisors (41710490079).

110002121121 is a wasteful number, since it uses less digits than its factorization.

110002121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43329.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002121121 its reverse (121121200011), we get a palindrome (231123321132).

The spelling of 110002121121 in words is "one hundred ten billion, two million, one hundred twenty-one thousand, one hundred twenty-one".