101100071105110 has 64 divisors (see below), whose sum is σ = 226963900952064. Its totient is φ = 31500656928000.

The previous prime is 101100071104999. The next prime is 101100071105119. The reversal of 101100071105110 is 11501170001101.

101100071105110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101100071105110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100071105119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20831527 + ... + 25222066.

It is an arithmetic number, because the mean of its divisors is an integer number (3546310952376).

Almost surely, 2^{101100071105110} is an apocalyptic number.

101100071105110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100071105110 is an abundant number, since it is smaller than the sum of its proper divisors (125863829846954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100071105110 is a wasteful number, since it uses less digits than its factorization.

101100071105110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46056469.

The product of its (nonzero) digits is 35, while the sum is 19.

The spelling of 101100071105110 in words is "one hundred one trillion, one hundred billion, seventy-one million, one hundred five thousand, one hundred ten".