101100110505506 has 64 divisors (see below), whose sum is σ = 176940555079680. Its totient is φ = 42428461340160.

The previous prime is 101100110505503. The next prime is 101100110505601. The reversal of 101100110505506 is 605505011001101.

It is not an unprimeable number, because it can be changed into a prime (101100110505503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4082036735 + ... + 4082061501.

It is an arithmetic number, because the mean of its divisors is an integer number (2764696173120).

Almost surely, 2^{101100110505506} is an apocalyptic number.

101100110505506 is a deficient number, since it is larger than the sum of its proper divisors (75840444574174).

101100110505506 is a wasteful number, since it uses less digits than its factorization.

101100110505506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45939.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 101100110505506 its reverse (605505011001101), we get a palindrome (706605121506607).

The spelling of 101100110505506 in words is "one hundred one trillion, one hundred billion, one hundred ten million, five hundred five thousand, five hundred six".