110122122020101 has 16 divisors (see below), whose sum is σ = 112187931206400. Its totient is φ = 108075105388800.

The previous prime is 110122122020051. The next prime is 110122122020159. The reversal of 110122122020101 is 101020221221011.

It is a cyclic number.

It is not a de Polignac number, because 110122122020101 - 2¹⁷ = 110122121889029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122122020191) 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 15 ways as a sum of consecutive naturals, for example, 49774521 + ... + 51939841.

It is an arithmetic number, because the mean of its divisors is an integer number (7011745700400).

Almost surely, 2^{110122122020101} is an apocalyptic number.

It is an amenable number.

110122122020101 is a deficient number, since it is larger than the sum of its proper divisors (2065809186299).

110122122020101 is a wasteful number, since it uses less digits than its factorization.

110122122020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169660.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122122020101 its reverse (101020221221011), we get a palindrome (211142343241112).

The spelling of 110122122020101 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand, one hundred one".