101105110061 has 2 divisors, whose sum is σ = 101105110062. Its totient is φ = 101105110060.

The previous prime is 101105110009. The next prime is 101105110187. The reversal of 101105110061 is 160011501101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89547570025 + 11557540036 = 299245^2 + 107506^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105110061 - 2²² = 101100915757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101105160061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552555030 + 50552555031.

It is an arithmetic number, because the mean of its divisors is an integer number (50552555031).

Almost surely, 2^101105110061 is an apocalyptic number.

It is an amenable number.

101105110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105110061 is an equidigital number, since it uses as much as digits as its factorization.

101105110061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 101105110061 its reverse (160011501101), we get a palindrome (261116611162).

The spelling of 101105110061 in words is "one hundred one billion, one hundred five million, one hundred ten thousand, sixty-one".