111101000101123 has 2 divisors, whose sum is σ = 111101000101124. Its totient is φ = 111101000101122.

The previous prime is 111101000101097. The next prime is 111101000101249. The reversal of 111101000101123 is 321101000101111.

It is a weak prime.

It is an emirp because it is prime and its reverse (321101000101111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101000101123 is a prime.

It is a super-2 number, since 2×111101000101123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111101000141123) 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, 55550500050561 + 55550500050562.

It is an arithmetic number, because the mean of its divisors is an integer number (55550500050562).

Almost surely, 2^{111101000101123} is an apocalyptic number.

111101000101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101000101123 is an equidigital number, since it uses as much as digits as its factorization.

111101000101123 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 111101000101123 its reverse (321101000101111), we get a palindrome (432202000202234).

The spelling of 111101000101123 in words is "one hundred eleven trillion, one hundred one billion, one hundred one thousand, one hundred twenty-three".