112101110101123 has 32 divisors (see below), whose sum is σ = 131985236017152. Its totient is φ = 93866739062400.

The previous prime is 112101110101117. The next prime is 112101110101171. The reversal of 112101110101123 is 321101011101211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112101110101123 is a prime.

It is a super-2 number, since 2×112101110101123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112101110101097 and 112101110101106.

It is not an unprimeable number, because it can be changed into a prime (112101110101423) 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 31 ways as a sum of consecutive naturals, for example, 145941838 + ... + 146707948.

It is an arithmetic number, because the mean of its divisors is an integer number (4124538625536).

Almost surely, 2^{112101110101123} is an apocalyptic number.

112101110101123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112101110101123 is a deficient number, since it is larger than the sum of its proper divisors (19884125916029).

112101110101123 is a wasteful number, since it uses less digits than its factorization.

112101110101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768355.

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

Adding to 112101110101123 its reverse (321101011101211), we get a palindrome (433202121202334).

The spelling of 112101110101123 in words is "one hundred twelve trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one hundred twenty-three".