101106558081 has 12 divisors (see below), whose sum is σ = 154633559652. Its totient is φ = 63439408896.

The previous prime is 101106558019. The next prime is 101106558083. The reversal of 101106558081 is 180855601101.

101106558081 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 65 + 580 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74084129856 + 27022428225 = 272184^2 + 164385^2 .

It is not a de Polignac number, because 101106558081 - 2¹⁵ = 101106525313 is a prime.

It is a super-2 number, since 2×101106558081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101106558083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330413436 + ... + 330413741.

It is an arithmetic number, because the mean of its divisors is an integer number (12886129971).

Almost surely, 2^101106558081 is an apocalyptic number.

It is an amenable number.

101106558081 is a deficient number, since it is larger than the sum of its proper divisors (53527001571).

101106558081 is a wasteful number, since it uses less digits than its factorization.

101106558081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660827200 (or 660827197 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 101106558081 in words is "one hundred one billion, one hundred six million, five hundred fifty-eight thousand, eighty-one".