101110600005561 has 16 divisors (see below), whose sum is σ = 151598222233920. Its totient is φ = 66594933335520.

The previous prime is 101110600005551. The next prime is 101110600005589. The reversal of 101110600005561 is 165500006011101.

101110600005561 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 0 + 600 + 0 + 0 + 5 + 56 + 1 = 666.

It is not a de Polignac number, because 101110600005561 - 2⁵ = 101110600005529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101110600005551) 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, 22559257020 + ... + 22559261501.

It is an arithmetic number, because the mean of its divisors is an integer number (9474888889620).

Almost surely, 2^{101110600005561} is an apocalyptic number.

It is an amenable number.

101110600005561 is a deficient number, since it is larger than the sum of its proper divisors (50487622228359).

101110600005561 is an equidigital number, since it uses as much as digits as its factorization.

101110600005561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45118518613 (or 45118518607 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 101110600005561 its reverse (165500006011101), we get a palindrome (266610606016662).

The spelling of 101110600005561 in words is "one hundred one trillion, one hundred ten billion, six hundred million, five thousand, five hundred sixty-one".