10011112111123 has 2 divisors, whose sum is σ = 10011112111124. Its totient is φ = 10011112111122.

The previous prime is 10011112111109. The next prime is 10011112111177. The reversal of 10011112111123 is 32111121111001.

It is a weak prime.

It is an emirp because it is prime and its reverse (32111121111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011112111123 - 2¹³ = 10011112102931 is a prime.

It is a super-2 number, since 2×10011112111123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011112111097 and 10011112111106.

It is not a weakly prime, because it can be changed into another prime (10011112111423) 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 as a sum of consecutive naturals, namely, 5005556055561 + 5005556055562.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556055562).

Almost surely, 2^{10011112111123} is an apocalyptic number.

10011112111123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112111123 is an equidigital number, since it uses as much as digits as its factorization.

10011112111123 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10011112111123 its reverse (32111121111001), we get a palindrome (42122233222124).

The spelling of 10011112111123 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-three".