101112011123 has 2 divisors, whose sum is σ = 101112011124. Its totient is φ = 101112011122.

The previous prime is 101112011113. The next prime is 101112011141. The reversal of 101112011123 is 321110211101.

It is a weak prime.

It is an emirp because it is prime and its reverse (321110211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112011123 - 2²⁸ = 100843575667 is a prime.

It is a super-2 number, since 2×101112011123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112011098 and 101112011107.

It is not a weakly prime, because it can be changed into another prime (101112011113) 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, 50556005561 + 50556005562.

It is an arithmetic number, because the mean of its divisors is an integer number (50556005562).

Almost surely, 2^101112011123 is an apocalyptic number.

101112011123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112011123 is an equidigital number, since it uses as much as digits as its factorization.

101112011123 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 14.

Adding to 101112011123 its reverse (321110211101), we get a palindrome (422222222224).

The spelling of 101112011123 in words is "one hundred one billion, one hundred twelve million, eleven thousand, one hundred twenty-three".