100012110 has 64 divisors (see below), whose sum is σ = 268959744. Its totient is φ = 23587200.

The previous prime is 100012103. The next prime is 100012111. The reversal of 100012110 is 11210001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8115 + ... + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (4202496).

Almost surely, 2^100012110 is an apocalyptic number.

100012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134479872).

100012110 is an abundant number, since it is smaller than the sum of its proper divisors (168947634).

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

100012110 is a wasteful number, since it uses less digits than its factorization.

100012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100012110 is about 10000.6054816696. The cubic root of 100012110 is about 464.1776191519.

Adding to 100012110 its reverse (11210001), we get a palindrome (111222111).

The spelling of 100012110 in words is "one hundred million, twelve thousand, one hundred ten".