110122100000121 has 12 divisors (see below), whose sum is σ = 161391066667376. Its totient is φ = 66740666666520.

The previous prime is 110122100000119. The next prime is 110122100000123. The reversal of 110122100000121 is 121000001221011.

It is an interprime number because it is at equal distance from previous prime (110122100000119) and next prime (110122100000123).

It is not a de Polignac number, because 110122100000121 - 2¹ = 110122100000119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110122100000097 and 110122100000106.

It is not an unprimeable number, because it can be changed into a prime (110122100000123) 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 11 ways as a sum of consecutive naturals, for example, 151683332971 + ... + 151683333696.

Almost surely, 2^{110122100000121} is an apocalyptic number.

110122100000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122100000121 is a deficient number, since it is larger than the sum of its proper divisors (51268966667255).

110122100000121 is a wasteful number, since it uses less digits than its factorization.

110122100000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303366666692 (or 303366666681 counting only the distinct ones).

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

Adding to 110122100000121 its reverse (121000001221011), we get a palindrome (231122101221132).

The spelling of 110122100000121 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one", and thus it is an aban number.