101205541 has 2 divisors, whose sum is σ = 101205542. Its totient is φ = 101205540.

The previous prime is 101205509. The next prime is 101205547. The reversal of 101205541 is 145502101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82283041 + 18922500 = 9071^2 + 4350^2 .

It is a cyclic number.

It is not a de Polignac number, because 101205541 - 2⁵ = 101205509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101205547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50602770 + 50602771.

It is an arithmetic number, because the mean of its divisors is an integer number (50602771).

Almost surely, 2^101205541 is an apocalyptic number.

It is an amenable number.

101205541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101205541 is an equidigital number, since it uses as much as digits as its factorization.

101205541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 101205541 is about 10060.0964707104. The cubic root of 101205541 is about 466.0166464241.

Adding to 101205541 its reverse (145502101), we get a palindrome (246707642).

The spelling of 101205541 in words is "one hundred one million, two hundred five thousand, five hundred forty-one".