101014829 has 2 divisors, whose sum is σ = 101014830. Its totient is φ = 101014828.

The previous prime is 101014817. The next prime is 101014831. The reversal of 101014829 is 928410101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80102500 + 20912329 = 8950^2 + 4573^2 .

It is an emirp because it is prime and its reverse (928410101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101014829 is a prime.

Together with 101014831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101014798 and 101014807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101014729) 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, 50507414 + 50507415.

It is an arithmetic number, because the mean of its divisors is an integer number (50507415).

Almost surely, 2^101014829 is an apocalyptic number.

It is an amenable number.

101014829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014829 is an equidigital number, since it uses as much as digits as its factorization.

101014829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 101014829 is about 10050.6133643674. The cubic root of 101014829 is about 465.7237413462.

The spelling of 101014829 in words is "one hundred one million, fourteen thousand, eight hundred twenty-nine".