101105601133 has 2 divisors, whose sum is σ = 101105601134. Its totient is φ = 101105601132.

The previous prime is 101105601097. The next prime is 101105601139. The reversal of 101105601133 is 331106501101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98557067844 + 2548533289 = 313938^2 + 50483^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105601133 - 2¹⁷ = 101105470061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101105601139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552800566 + 50552800567.

It is an arithmetic number, because the mean of its divisors is an integer number (50552800567).

Almost surely, 2^101105601133 is an apocalyptic number.

It is an amenable number.

101105601133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105601133 is an equidigital number, since it uses as much as digits as its factorization.

101105601133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The spelling of 101105601133 in words is "one hundred one billion, one hundred five million, six hundred one thousand, one hundred thirty-three".