105110500001121 has 12 divisors (see below), whose sum is σ = 157449473253072. Its totient is φ = 70073666667252.

The previous prime is 105110500001077. The next prime is 105110500001147. The reversal of 105110500001121 is 121100005011501.

105110500001121 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 0 + 500 + 0 + 0 + 112 + 1 = 666.

It is not a de Polignac number, because 105110500001121 - 2¹⁷ = 105110499870049 is a prime.

It is a super-3 number, since 3×105110500001121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105110500001094 and 105110500001103.

It is not an unprimeable number, because it can be changed into a prime (105110500001161) 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, 216276748731 + ... + 216276749216.

It is an arithmetic number, because the mean of its divisors is an integer number (13120789437756).

Almost surely, 2^{105110500001121} is an apocalyptic number.

It is an amenable number.

105110500001121 is a deficient number, since it is larger than the sum of its proper divisors (52338973251951).

105110500001121 is an frugal number, since it uses more digits than its factorization.

105110500001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432553497962 (or 432553497950 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 18.

Adding to 105110500001121 its reverse (121100005011501), we get a palindrome (226210505012622).

The spelling of 105110500001121 in words is "one hundred five trillion, one hundred ten billion, five hundred million, one thousand, one hundred twenty-one".