101140041443201 has 2 divisors, whose sum is σ = 101140041443202. Its totient is φ = 101140041443200.

The previous prime is 101140041443171. The next prime is 101140041443213. The reversal of 101140041443201 is 102344140041101.

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., 97129874991601 + 4010166451600 = 9855449^2 + 2002540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101140041443201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101140041443261) 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, 50570020721600 + 50570020721601.

It is an arithmetic number, because the mean of its divisors is an integer number (50570020721601).

Almost surely, 2^{101140041443201} is an apocalyptic number.

It is an amenable number.

101140041443201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101140041443201 is an equidigital number, since it uses as much as digits as its factorization.

101140041443201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101140041443201 its reverse (102344140041101), we get a palindrome (203484181484302).

The spelling of 101140041443201 in words is "one hundred one trillion, one hundred forty billion, forty-one million, four hundred forty-three thousand, two hundred one".