1101101011123 has 2 divisors, whose sum is σ = 1101101011124. Its totient is φ = 1101101011122.

The previous prime is 1101101011099. The next prime is 1101101011141. The reversal of 1101101011123 is 3211101011011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1101101011123 - 2³⁷ = 963662057651 is a prime.

It is a super-2 number, since 2×1101101011123² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1101101011723) 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 as a sum of consecutive naturals, namely, 550550505561 + 550550505562.

It is an arithmetic number, because the mean of its divisors is an integer number (550550505562).

Almost surely, 2^{1101101011123} is an apocalyptic number.

1101101011123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101011123 is an equidigital number, since it uses as much as digits as its factorization.

1101101011123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1101101011123 its reverse (3211101011011), we get a palindrome (4312202022134).

The spelling of 1101101011123 in words is "one trillion, one hundred one billion, one hundred one million, eleven thousand, one hundred twenty-three".