110110120101106 has 16 divisors (see below), whose sum is σ = 165800665459800. Its totient is φ = 54843540629760.

The previous prime is 110110120101103. The next prime is 110110120101109. The reversal of 110110120101106 is 601101021011011.

It is an interprime number because it is at equal distance from previous prime (110110120101103) and next prime (110110120101109).

It can be written as a sum of positive squares in 4 ways, for example, as 87855172325881 + 22254947775225 = 9373109^2 + 4717515^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110110120101106.

It is not an unprimeable number, because it can be changed into a prime (110110120101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76540471 + ... + 77965786.

Almost surely, 2^{110110120101106} is an apocalyptic number.

110110120101106 is a deficient number, since it is larger than the sum of its proper divisors (55690545358694).

110110120101106 is a wasteful number, since it uses less digits than its factorization.

110110120101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154507629.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 110110120101106 its reverse (601101021011011), we get a palindrome (711211141112117).

The spelling of 110110120101106 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty million, one hundred one thousand, one hundred six".