138101 has 2 divisors, whose sum is σ = 138102. Its totient is φ = 138100.

The previous prime is 138079. The next prime is 138107. The reversal of 138101 is 101831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 51076 = 295^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 138101 - 2¹⁰ = 137077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69050 + 69051.

It is an arithmetic number, because the mean of its divisors is an integer number (69051).

2¹³⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

138101 is a deficient number, since it is larger than the sum of its proper divisors (1).

138101 is an equidigital number, since it uses as much as digits as its factorization.

138101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 138101 is about 371.6194289862. The cubic root of 138101 is about 51.6890965163.

Adding to 138101 its reverse (101831), we get a palindrome (239932).

The spelling of 138101 in words is "one hundred thirty-eight thousand, one hundred one".