110110022000121 has 128 divisors (see below), whose sum is σ = 180206795059200. Its totient is φ = 58883118013440.

The previous prime is 110110022000119. The next prime is 110110022000149. The reversal of 110110022000121 is 121000220011011.

It is not a de Polignac number, because 110110022000121 - 2¹ = 110110022000119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110022000097 and 110110022000106.

It is not an unprimeable number, because it can be changed into a prime (110110022020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6321250950 + ... + 6321268368.

It is an arithmetic number, because the mean of its divisors is an integer number (1407865586400).

Almost surely, 2^{110110022000121} is an apocalyptic number.

110110022000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110022000121 is a deficient number, since it is larger than the sum of its proper divisors (70096773059079).

110110022000121 is a wasteful number, since it uses less digits than its factorization.

110110022000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22511.

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

Adding to 110110022000121 its reverse (121000220011011), we get a palindrome (231110242011132).

The spelling of 110110022000121 in words is "one hundred ten trillion, one hundred ten billion, twenty-two million, one hundred twenty-one", and thus it is an aban number.