101138047 has 2 divisors, whose sum is σ = 101138048. Its totient is φ = 101138046.

The previous prime is 101138017. The next prime is 101138119. The reversal of 101138047 is 740831101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101138047 is a prime.

It is equal to p_5823205 and since 101138047 and 5823205 have the same sum of digits, it is a Honaker prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101138017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50569023 + 50569024.

It is an arithmetic number, because the mean of its divisors is an integer number (50569024).

Almost surely, 2^101138047 is an apocalyptic number.

101138047 is a deficient number, since it is larger than the sum of its proper divisors (1).

101138047 is an equidigital number, since it uses as much as digits as its factorization.

101138047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 101138047 is about 10056.7413708417. The cubic root of 101138047 is about 465.9130278478.

Adding to 101138047 its reverse (740831101), we get a palindrome (841969148).

The spelling of 101138047 in words is "one hundred one million, one hundred thirty-eight thousand, forty-seven".