101005361 has 2 divisors, whose sum is σ = 101005362. Its totient is φ = 101005360.

The previous prime is 101005357. The next prime is 101005363. The reversal of 101005361 is 163500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100620961 + 384400 = 10031^2 + 620^2 .

It is a cyclic number.

It is not a de Polignac number, because 101005361 - 2² = 101005357 is a prime.

Together with 101005363, 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 (101005363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502680 + 50502681.

It is an arithmetic number, because the mean of its divisors is an integer number (50502681).

Almost surely, 2^101005361 is an apocalyptic number.

It is an amenable number.

101005361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005361 is an equidigital number, since it uses as much as digits as its factorization.

101005361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 101005361 is about 10050.1423373005. The cubic root of 101005361 is about 465.7091903138.

Adding to 101005361 its reverse (163500101), we get a palindrome (264505462).

The spelling of 101005361 in words is "one hundred one million, five thousand, three hundred sixty-one".