101101101110123 has 2 divisors, whose sum is σ = 101101101110124. Its totient is φ = 101101101110122.

The previous prime is 101101101110057. The next prime is 101101101110129. The reversal of 101101101110123 is 321011101101101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101101110123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101101110098 and 101101101110107.

It is not a weakly prime, because it can be changed into another prime (101101101110129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550555061 + 50550550555062.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550555062).

Almost surely, 2^{101101101110123} is an apocalyptic number.

101101101110123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101101110123 is an equidigital number, since it uses as much as digits as its factorization.

101101101110123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101101101110123 its reverse (321011101101101), we get a palindrome (422112202211224).

The spelling of 101101101110123 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred twenty-three".