100111122 has 48 divisors (see below), whose sum is σ = 224220672. Its totient is φ = 32257440.

The previous prime is 100111087. The next prime is 100111127. The reversal of 100111122 is 221111001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100111127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126813 + ... + 127599.

It is an arithmetic number, because the mean of its divisors is an integer number (4671264).

Almost surely, 2^100111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112110336).

100111122 is an abundant number, since it is smaller than the sum of its proper divisors (124109550).

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

100111122 is a wasteful number, since it uses less digits than its factorization.

100111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100111122 is about 10005.5545573446. The cubic root of 100111122 is about 464.3307472622.

Adding to 100111122 its reverse (221111001), we get a palindrome (321222123).

The spelling of 100111122 in words is "one hundred million, one hundred eleven thousand, one hundred twenty-two".