110100101212121 has 4 divisors (see below), whose sum is σ = 115894843381200. Its totient is φ = 104305359043044.

The previous prime is 110100101212111. The next prime is 110100101212151. The reversal of 110100101212121 is 121212101001011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 110100101212121 - 2¹⁸ = 110100100949977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100101212096 and 110100101212105.

It is not an unprimeable number, because it can be changed into a prime (110100101212111) 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 3 ways as a sum of consecutive naturals, for example, 2897371084511 + ... + 2897371084548.

It is an arithmetic number, because the mean of its divisors is an integer number (28973710845300).

Almost surely, 2^{110100101212121} is an apocalyptic number.

It is an amenable number.

110100101212121 is a deficient number, since it is larger than the sum of its proper divisors (5794742169079).

110100101212121 is an equidigital number, since it uses as much as digits as its factorization.

110100101212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794742169078.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110100101212121 its reverse (121212101001011), we get a palindrome (231312202213132).

The spelling of 110100101212121 in words is "one hundred ten trillion, one hundred billion, one hundred one million, two hundred twelve thousand, one hundred twenty-one".