101101000111123 has 2 divisors, whose sum is σ = 101101000111124. Its totient is φ = 101101000111122.

The previous prime is 101101000111093. The next prime is 101101000111211. The reversal of 101101000111123 is 321111000101101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101101000111123 - 2³⁷ = 100963561157651 is a prime.

It is a super-2 number, since 2×101101000111123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101101000181123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500055561 + 50550500055562.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500055562).

Almost surely, 2^{101101000111123} is an apocalyptic number.

101101000111123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000111123 is an equidigital number, since it uses as much as digits as its factorization.

101101000111123 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 101101000111123 its reverse (321111000101101), we get a palindrome (422212000212224).

The spelling of 101101000111123 in words is "one hundred one trillion, one hundred one billion, one hundred eleven thousand, one hundred twenty-three".