101110001060561 has 8 divisors (see below), whose sum is σ = 105556154226600. Its totient is φ = 96727821321600.

The previous prime is 101110001060531. The next prime is 101110001060569. The reversal of 101110001060561 is 165060100011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50318366479936 + 50791634580625 = 7093544^2 + 7126825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110001060561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110001060569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15993353540 + ... + 15993359861.

It is an arithmetic number, because the mean of its divisors is an integer number (13194519278325).

Almost surely, 2^{101110001060561} is an apocalyptic number.

It is an amenable number.

101110001060561 is a deficient number, since it is larger than the sum of its proper divisors (4446153166039).

101110001060561 is a wasteful number, since it uses less digits than its factorization.

101110001060561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31986713539.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 101110001060561 its reverse (165060100011101), we get a palindrome (266170101071662).

The spelling of 101110001060561 in words is "one hundred one trillion, one hundred ten billion, one million, sixty thousand, five hundred sixty-one".