101014349 has 2 divisors, whose sum is σ = 101014350. Its totient is φ = 101014348.

The previous prime is 101014307. The next prime is 101014363. The reversal of 101014349 is 943410101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100600900 + 413449 = 10030^2 + 643^2 .

It is an emirp because it is prime and its reverse (943410101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101014349 - 2²⁰ = 99965773 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101014369) 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, 50507174 + 50507175.

It is an arithmetic number, because the mean of its divisors is an integer number (50507175).

Almost surely, 2^101014349 is an apocalyptic number.

It is an amenable number.

101014349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014349 is an equidigital number, since it uses as much as digits as its factorization.

101014349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 101014349 is about 10050.5894851994. The cubic root of 101014349 is about 465.7230036732.

The spelling of 101014349 in words is "one hundred one million, fourteen thousand, three hundred forty-nine".