110122222102101 has 12 divisors (see below), whose sum is σ = 173525925736800. Its totient is φ = 66740740667880.

The previous prime is 110122222102043. The next prime is 110122222102127. The reversal of 110122222102101 is 101201222221011.

110122222102101 is a `hidden beast` number, since 1 + 10 + 1 + 222 + 221 + 0 + 210 + 1 = 666.

It is not a de Polignac number, because 110122222102101 - 2¹⁹ = 110122221577813 is a prime.

It is a super-2 number, since 2×110122222102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122222102181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556172838801 + ... + 556172838998.

It is an arithmetic number, because the mean of its divisors is an integer number (14460493811400).

Almost surely, 2^{110122222102101} is an apocalyptic number.

110122222102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122222102101 is a deficient number, since it is larger than the sum of its proper divisors (63403703634699).

110122222102101 is a wasteful number, since it uses less digits than its factorization.

110122222102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112345677816 (or 1112345677813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110122222102101 its reverse (101201222221011), we get a palindrome (211323444323112).

The spelling of 110122222102101 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred one".