110012121122121 has 10 divisors (see below), whose sum is σ = 164339094515882. Its totient is φ = 73341414081360.

The previous prime is 110012121122047. The next prime is 110012121122201. The reversal of 110012121122121 is 121221121210011.

It is a happy number.

110012121122121 is a `hidden beast` number, since 110 + 0 + 121 + 211 + 221 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84699258368400 + 25312862753721 = 9203220^2 + 5031189^2 .

It is not a de Polignac number, because 110012121122121 - 2⁷ = 110012121121993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110012121122094 and 110012121122103.

It is not an unprimeable number, because it can be changed into a prime (110012121122021) 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 9 ways as a sum of consecutive naturals, for example, 679087167340 + ... + 679087167501.

Almost surely, 2^{110012121122121} is an apocalyptic number.

It is an amenable number.

110012121122121 is a deficient number, since it is larger than the sum of its proper divisors (54326973393761).

110012121122121 is an equidigital number, since it uses as much as digits as its factorization.

110012121122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358174334853 (or 1358174334844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110012121122121 its reverse (121221121210011), we get a palindrome (231233242332132).

The spelling of 110012121122121 in words is "one hundred ten trillion, twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".