36105355141201 has 2 divisors, whose sum is σ = 36105355141202. Its totient is φ = 36105355141200.

The previous prime is 36105355141181. The next prime is 36105355141357. The reversal of 36105355141201 is 10214155350163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35985361488400 + 119993652801 = 5998780^2 + 346401^2 .

It is a cyclic number.

It is not a de Polignac number, because 36105355141201 - 2¹³ = 36105355133009 is a prime.

It is not a weakly prime, because it can be changed into another prime (36105355142201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18052677570600 + 18052677570601.

It is an arithmetic number, because the mean of its divisors is an integer number (18052677570601).

Almost surely, 2^{36105355141201} is an apocalyptic number.

It is an amenable number.

36105355141201 is a deficient number, since it is larger than the sum of its proper divisors (1).

36105355141201 is an equidigital number, since it uses as much as digits as its factorization.

36105355141201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 36105355141201 in words is "thirty-six trillion, one hundred five billion, three hundred fifty-five million, one hundred forty-one thousand, two hundred one".