100101056006105 has 64 divisors (see below), whose sum is σ = 151891302850560. Its totient is φ = 61513509926400.

The previous prime is 100101056006099. The next prime is 100101056006137. The reversal of 100101056006105 is 501600650101001.

It is not a de Polignac number, because 100101056006105 - 2⁴⁰ = 99001544378329 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206383037 + ... + 206867493.

It is an arithmetic number, because the mean of its divisors is an integer number (2373301607040).

Almost surely, 2^{100101056006105} is an apocalyptic number.

It is an amenable number.

100101056006105 is a deficient number, since it is larger than the sum of its proper divisors (51790246844455).

100101056006105 is a wasteful number, since it uses less digits than its factorization.

100101056006105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492110.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 100101056006105 in words is "one hundred trillion, one hundred one billion, fifty-six million, six thousand, one hundred five".