100110121110 has 48 divisors (see below), whose sum is σ = 260360938656. Its totient is φ = 26688378624.

The previous prime is 100110121109. The next prime is 100110121127. The reversal of 100110121110 is 11121011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110121092 and 100110121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159742 + ... + 475118.

It is an arithmetic number, because the mean of its divisors is an integer number (5424186222).

Almost surely, 2^100110121110 is an apocalyptic number.

100110121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110121110 is an abundant number, since it is smaller than the sum of its proper divisors (160250817546).

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

100110121110 is a wasteful number, since it uses less digits than its factorization.

100110121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318917 (or 318914 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110121110 its reverse (11121011001), we get a palindrome (111231132111).

The spelling of 100110121110 in words is "one hundred billion, one hundred ten million, one hundred twenty-one thousand, one hundred ten".