101075750361541 has 2 divisors, whose sum is σ = 101075750361542. Its totient is φ = 101075750361540.

The previous prime is 101075750361529. The next prime is 101075750361571. The reversal of 101075750361541 is 145163057570101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89844900609025 + 11230849752516 = 9478655^2 + 3351246^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075750361541 - 2⁷ = 101075750361413 is a prime.

It is a super-2 number, since 2×101075750361541² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101075750361491 and 101075750361500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101075750361511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50537875180770 + 50537875180771.

It is an arithmetic number, because the mean of its divisors is an integer number (50537875180771).

Almost surely, 2^{101075750361541} is an apocalyptic number.

It is an amenable number.

101075750361541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075750361541 is an equidigital number, since it uses as much as digits as its factorization.

101075750361541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441000, while the sum is 46.

The spelling of 101075750361541 in words is "one hundred one trillion, seventy-five billion, seven hundred fifty million, three hundred sixty-one thousand, five hundred forty-one".