101005550105556 has 48 divisors (see below), whose sum is σ = 236747012708864. Its totient is φ = 33516045029376.

The previous prime is 101005550105527. The next prime is 101005550105611. The reversal of 101005550105556 is 655501055500101.

101005550105556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60122676 + ... + 61779828.

Almost surely, 2^{101005550105556} is an apocalyptic number.

It is an amenable number.

101005550105556 is an abundant number, since it is smaller than the sum of its proper divisors (135741462603308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101005550105556 is a wasteful number, since it uses less digits than its factorization.

101005550105556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680160 (or 1680158 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 39.

The spelling of 101005550105556 in words is "one hundred one trillion, five billion, five hundred fifty million, one hundred five thousand, five hundred fifty-six".