10201545135305 has 16 divisors (see below), whose sum is σ = 12738211974144. Its totient is φ = 7836883479360.

The previous prime is 10201545135259. The next prime is 10201545135307. The reversal of 10201545135305 is 50353154510201.

It is not a de Polignac number, because 10201545135305 - 2¹⁰ = 10201545134281 is a prime.

It is a super-2 number, since 2×10201545135305² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201545135307) 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 in 15 ways as a sum of consecutive naturals, for example, 409523681 + ... + 409548590.

It is an arithmetic number, because the mean of its divisors is an integer number (796138248384).

Almost surely, 2^{10201545135305} is an apocalyptic number.

It is an amenable number.

10201545135305 is a deficient number, since it is larger than the sum of its proper divisors (2536666838839).

10201545135305 is an equidigital number, since it uses as much as digits as its factorization.

10201545135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819072376.

The product of its (nonzero) digits is 45000, while the sum is 35.

Adding to 10201545135305 its reverse (50353154510201), we get a palindrome (60554699645506).

The spelling of 10201545135305 in words is "ten trillion, two hundred one billion, five hundred forty-five million, one hundred thirty-five thousand, three hundred five".