101100556111011 has 8 divisors (see below), whose sum is σ = 135627739896000. Its totient is φ = 66986871533352.

The previous prime is 101100556110949. The next prime is 101100556111073. The reversal of 101100556111011 is 110111655001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101100556110949) and next prime (101100556111073).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101100556111011 - 2²⁷ = 101100421893283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100556111411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 103374801261 + ... + 103374802238.

It is an arithmetic number, because the mean of its divisors is an integer number (16953467487000).

Almost surely, 2^{101100556111011} is an apocalyptic number.

101100556111011 is a deficient number, since it is larger than the sum of its proper divisors (34527183784989).

101100556111011 is a wasteful number, since it uses less digits than its factorization.

101100556111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206749603665.

The product of its (nonzero) digits is 150, while the sum is 24.

It can be divided in two parts, 1011005 and 56111011, that added together give a triangular number (57122016 = T₁₀₆₈₈).

The spelling of 101100556111011 in words is "one hundred one trillion, one hundred billion, five hundred fifty-six million, one hundred eleven thousand, eleven".