101152135054441 has 2 divisors, whose sum is σ = 101152135054442. Its totient is φ = 101152135054440.

The previous prime is 101152135054391. The next prime is 101152135054457. The reversal of 101152135054441 is 144450531251101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78427035657216 + 22725099397225 = 8855904^2 + 4767085^2 .

It is a cyclic number.

It is not a de Polignac number, because 101152135054441 - 2¹⁵ = 101152135021673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101152135054441.

It is not a weakly prime, because it can be changed into another prime (101152135054141) 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, 50576067527220 + 50576067527221.

It is an arithmetic number, because the mean of its divisors is an integer number (50576067527221).

Almost surely, 2^{101152135054441} is an apocalyptic number.

It is an amenable number.

101152135054441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101152135054441 is an equidigital number, since it uses as much as digits as its factorization.

101152135054441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 101152135054441 in words is "one hundred one trillion, one hundred fifty-two billion, one hundred thirty-five million, fifty-four thousand, four hundred forty-one".