101100556006005 has 32 divisors (see below), whose sum is σ = 171278498851200. Its totient is φ = 50747843930112.

The previous prime is 101100556005989. The next prime is 101100556006061. The reversal of 101100556006005 is 500600655001101.

It is not a de Polignac number, because 101100556006005 - 2⁴ = 101100556005989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17008281 + ... + 22169409.

It is an arithmetic number, because the mean of its divisors is an integer number (5352453089100).

Almost surely, 2^{101100556006005} is an apocalyptic number.

101100556006005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101100556006005 is a deficient number, since it is larger than the sum of its proper divisors (70177942845195).

101100556006005 is a wasteful number, since it uses less digits than its factorization.

101100556006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237973.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 101100556006005 in words is "one hundred one trillion, one hundred billion, five hundred fifty-six million, six thousand, five".