101101361 has 2 divisors, whose sum is σ = 101101362. Its totient is φ = 101101360.

The previous prime is 101101331. The next prime is 101101379. The reversal of 101101361 is 163101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95550625 + 5550736 = 9775^2 + 2356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101361 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101321) 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, 50550680 + 50550681.

It is an arithmetic number, because the mean of its divisors is an integer number (50550681).

Almost surely, 2^101101361 is an apocalyptic number.

It is an amenable number.

101101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101361 is an equidigital number, since it uses as much as digits as its factorization.

101101361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 101101361 is about 10054.9172547565. The cubic root of 101101361 is about 465.8566871896.

Adding to 101101361 its reverse (163101101), we get a palindrome (264202462).

The spelling of 101101361 in words is "one hundred one million, one hundred one thousand, three hundred sixty-one".