100122220 has 96 divisors (see below), whose sum is σ = 245016576. Its totient is φ = 34003200.

The previous prime is 100122179. The next prime is 100122221. The reversal of 100122220 is 22221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100122197 and 100122206.

It is not an unprimeable number, because it can be changed into a prime (100122221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 237610 + ... + 238030.

It is an arithmetic number, because the mean of its divisors is an integer number (2552256).

Almost surely, 2^100122220 is an apocalyptic number.

100122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122508288).

100122220 is an abundant number, since it is smaller than the sum of its proper divisors (144894356).

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

100122220 is a wasteful number, since it uses less digits than its factorization.

100122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100122220 is about 10006.1091339241. The cubic root of 100122220 is about 464.3479047040.

Adding to 100122220 its reverse (22221001), we get a palindrome (122343221).

The spelling of 100122220 in words is "one hundred million, one hundred twenty-two thousand, two hundred twenty".