101010555601101 has 12 divisors (see below), whose sum is σ = 146747512378428. Its totient is φ = 66951119703744.

The previous prime is 101010555601097. The next prime is 101010555601129. The reversal of 101010555601101 is 101106555010101.

101010555601101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 0 + 5 + 55 + 601 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97550486865225 + 3460068735876 = 9876765^2 + 1860126^2 .

It is not a de Polignac number, because 101010555601101 - 2² = 101010555601097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010555603101) 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 11 ways as a sum of consecutive naturals, for example, 32437556440 + ... + 32437559553.

It is an arithmetic number, because the mean of its divisors is an integer number (12228959364869).

Almost surely, 2^{101010555601101} is an apocalyptic number.

It is an amenable number.

101010555601101 is a deficient number, since it is larger than the sum of its proper divisors (45736956777327).

101010555601101 is a wasteful number, since it uses less digits than its factorization.

101010555601101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64875116172 (or 64875116169 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 101010555601101 in words is "one hundred one trillion, ten billion, five hundred fifty-five million, six hundred one thousand, one hundred one".