1005111211123 has 2 divisors, whose sum is σ = 1005111211124. Its totient is φ = 1005111211122.

The previous prime is 1005111211103. The next prime is 1005111211129. The reversal of 1005111211123 is 3211121115001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005111211123 - 2⁹ = 1005111210611 is a prime.

It is a super-2 number, since 2×1005111211123² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005111211123.

It is not a weakly prime, because it can be changed into another prime (1005111211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502555605561 + 502555605562.

It is an arithmetic number, because the mean of its divisors is an integer number (502555605562).

Almost surely, 2^{1005111211123} is an apocalyptic number.

1005111211123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005111211123 is an equidigital number, since it uses as much as digits as its factorization.

1005111211123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 1005111211123 its reverse (3211121115001), we get a palindrome (4216232326124).

The spelling of 1005111211123 in words is "one trillion, five billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-three".