101536560342161 has 16 divisors (see below), whose sum is σ = 119704467411840. Its totient is φ = 84326913665280.

The previous prime is 101536560342143. The next prime is 101536560342181. The reversal of 101536560342161 is 161243065635101.

It is a cyclic number.

It is not a de Polignac number, because 101536560342161 - 2¹⁰ = 101536560341137 is a prime.

It is a super-2 number, since 2×101536560342161² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101536560342181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774527656 + ... + 1774584873.

It is an arithmetic number, because the mean of its divisors is an integer number (7481529213240).

Almost surely, 2^{101536560342161} is an apocalyptic number.

It is an amenable number.

101536560342161 is a deficient number, since it is larger than the sum of its proper divisors (18167907069679).

101536560342161 is an equidigital number, since it uses as much as digits as its factorization.

101536560342161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549112664.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 101536560342161 in words is "one hundred one trillion, five hundred thirty-six billion, five hundred sixty million, three hundred forty-two thousand, one hundred sixty-one".