101410409 has 2 divisors, whose sum is σ = 101410410. Its totient is φ = 101410408.

The previous prime is 101410399. The next prime is 101410411. The reversal of 101410409 is 904014101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73479184 + 27931225 = 8572^2 + 5285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101410409 is a prime.

Together with 101410411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101410489) 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, 50705204 + 50705205.

It is an arithmetic number, because the mean of its divisors is an integer number (50705205).

Almost surely, 2^101410409 is an apocalyptic number.

It is an amenable number.

101410409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101410409 is an equidigital number, since it uses as much as digits as its factorization.

101410409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101410409 is about 10070.2735315383. The cubic root of 101410409 is about 466.3308833365.

The spelling of 101410409 in words is "one hundred one million, four hundred ten thousand, four hundred nine".