101138123 has 2 divisors, whose sum is σ = 101138124. Its totient is φ = 101138122.

The previous prime is 101138119. The next prime is 101138143. The reversal of 101138123 is 321831101.

It is an a-pointer prime, because the next prime (101138143) can be obtained adding 101138123 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101138123 - 2² = 101138119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101138095 and 101138104.

It is not a weakly prime, because it can be changed into another prime (101138143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50569061 + 50569062.

It is an arithmetic number, because the mean of its divisors is an integer number (50569062).

Almost surely, 2^101138123 is an apocalyptic number.

101138123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101138123 is an equidigital number, since it uses as much as digits as its factorization.

101138123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101138123 is about 10056.7451494010. The cubic root of 101138123 is about 465.9131445510.

Adding to 101138123 its reverse (321831101), we get a palindrome (422969224).

The spelling of 101138123 in words is "one hundred one million, one hundred thirty-eight thousand, one hundred twenty-three".