101332109 has 2 divisors, whose sum is σ = 101332110. Its totient is φ = 101332108.

The previous prime is 101332097. The next prime is 101332129. The reversal of 101332109 is 901233101.

It is an a-pointer prime, because the next prime (101332129) can be obtained adding 101332109 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93508900 + 7823209 = 9670^2 + 2797^2 .

It is an emirp because it is prime and its reverse (901233101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101332109 - 2¹⁶ = 101266573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101332129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666054 + 50666055.

It is an arithmetic number, because the mean of its divisors is an integer number (50666055).

Almost surely, 2^101332109 is an apocalyptic number.

It is an amenable number.

101332109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332109 is an equidigital number, since it uses as much as digits as its factorization.

101332109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 101332109 is about 10066.3851009188. The cubic root of 101332109 is about 466.2108328404.

The spelling of 101332109 in words is "one hundred one million, three hundred thirty-two thousand, one hundred nine".