101071541 has 2 divisors, whose sum is σ = 101071542. Its totient is φ = 101071540.

The previous prime is 101071471. The next prime is 101071547. The reversal of 101071541 is 145170101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84088900 + 16982641 = 9170^2 + 4121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101071541 is a prime.

It is a super-2 number, since 2×101071541² = 20430912800229362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101071547) 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, 50535770 + 50535771.

It is an arithmetic number, because the mean of its divisors is an integer number (50535771).

Almost surely, 2^101071541 is an apocalyptic number.

It is an amenable number.

101071541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101071541 is an equidigital number, since it uses as much as digits as its factorization.

101071541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 101071541 is about 10053.4342888388. The cubic root of 101071541 is about 465.8108809733.

The spelling of 101071541 in words is "one hundred one million, seventy-one thousand, five hundred forty-one".