101100105110 has 8 divisors (see below), whose sum is σ = 181980189216. Its totient is φ = 40440042040.

The previous prime is 101100105047. The next prime is 101100105179. The reversal of 101100105110 is 11501001101.

It is a happy number.

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

It is a super-2 number, since 2×101100105110² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100105091 and 101100105100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055005246 + ... + 5055005265.

It is an arithmetic number, because the mean of its divisors is an integer number (22747523652).

Almost surely, 2^101100105110 is an apocalyptic number.

101100105110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100105110 is a deficient number, since it is larger than the sum of its proper divisors (80880084106).

101100105110 is a wasteful number, since it uses less digits than its factorization.

101100105110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110010518.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 101100105110 its reverse (11501001101), we get a palindrome (112601106211).

The spelling of 101100105110 in words is "one hundred one billion, one hundred million, one hundred five thousand, one hundred ten".