138780101 has 2 divisors, whose sum is σ = 138780102. Its totient is φ = 138780100.

The previous prime is 138780077. The next prime is 138780107. The reversal of 138780101 is 101087831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87871876 + 50908225 = 9374^2 + 7135^2 .

It is a cyclic number.

It is not a de Polignac number, because 138780101 - 2¹⁰ = 138779077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138780107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69390050 + 69390051.

It is an arithmetic number, because the mean of its divisors is an integer number (69390051).

Almost surely, 2^138780101 is an apocalyptic number.

It is an amenable number.

138780101 is a deficient number, since it is larger than the sum of its proper divisors (1).

138780101 is an equidigital number, since it uses as much as digits as its factorization.

138780101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 138780101 is about 11780.4966363902. The cubic root of 138780101 is about 517.7368373019.

The spelling of 138780101 in words is "one hundred thirty-eight million, seven hundred eighty thousand, one hundred one".