101100560105105 has 32 divisors (see below), whose sum is σ = 140694966921600. Its totient is φ = 68968120896000.

The previous prime is 101100560105089. The next prime is 101100560105123. The reversal of 101100560105105 is 501501065001101.

It is not a de Polignac number, because 101100560105105 - 2⁴ = 101100560105089 is a prime.

It is a super-2 number, since 2×101100560105105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478839740 + ... + 479050829.

It is an arithmetic number, because the mean of its divisors is an integer number (4396717716300).

Almost surely, 2^{101100560105105} is an apocalyptic number.

It is an amenable number.

101100560105105 is a deficient number, since it is larger than the sum of its proper divisors (39594406816495).

101100560105105 is a wasteful number, since it uses less digits than its factorization.

101100560105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957890705.

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

The spelling of 101100560105105 in words is "one hundred one trillion, one hundred billion, five hundred sixty million, one hundred five thousand, one hundred five".