100100220 has 48 divisors (see below), whose sum is σ = 305762688. Its totient is φ = 24266560.

The previous prime is 100100197. The next prime is 100100239. The reversal of 100100220 is 22001001.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100100199 and 100100208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75174 + ... + 76493.

It is an arithmetic number, because the mean of its divisors is an integer number (6370056).

Almost surely, 2^100100220 is an apocalyptic number.

100100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100220 is an abundant number, since it is smaller than the sum of its proper divisors (205662468).

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

100100220 is a wasteful number, since it uses less digits than its factorization.

100100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151690 (or 151688 counting only the distinct ones).

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

The square root of 100100220 is about 10005.0097451227. The cubic root of 100100220 is about 464.3138916007.

Adding to 100100220 its reverse (22001001), we get a palindrome (122101221).

The spelling of 100100220 in words is "one hundred million, one hundred thousand, two hundred twenty".