100122 has 32 divisors (see below), whose sum is σ = 229824. Its totient is φ = 28800.

The previous prime is 100109. The next prime is 100129. The reversal of 100122 is 221001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100122.

It is not an unprimeable number, because it can be changed into a prime (100129) by changing a digit.

100122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2422 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2¹⁰⁰¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

100122 is an abundant number, since it is smaller than the sum of its proper divisors (129702).

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

100122 is a wasteful number, since it uses less digits than its factorization.

100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100122 is about 316.4206061558. The cubic root of 100122 is about 46.4347564598.

Adding to 100122 its reverse (221001), we get a palindrome (321123).

It can be divided in two parts, 1001 and 22, that multiplied together give a palindrome (22022).

The spelling of 100122 in words is "one hundred thousand, one hundred twenty-two", and thus it is an iban number.