101101056101001 has 12 divisors (see below), whose sum is σ = 159310755068400. Its totient is φ = 61273367333880.

The previous prime is 101101056100999. The next prime is 101101056101033. The reversal of 101101056101001 is 100101650101101.

It is a happy number.

101101056101001 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 1 + 0 + 561 + 0 + 100 + 1 = 666.

It is not a de Polignac number, because 101101056101001 - 2¹ = 101101056100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101056501001) 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, 510611394351 + ... + 510611394548.

It is an arithmetic number, because the mean of its divisors is an integer number (13275896255700).

Almost surely, 2^{101101056101001} is an apocalyptic number.

101101056101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101056101001 is a deficient number, since it is larger than the sum of its proper divisors (58209698967399).

101101056101001 is a wasteful number, since it uses less digits than its factorization.

101101056101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021222788916 (or 1021222788913 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 101101056101001 in words is "one hundred one trillion, one hundred one billion, fifty-six million, one hundred one thousand, one".