100111220 has 48 divisors (see below), whose sum is σ = 231432768. Its totient is φ = 36072960.

The previous prime is 100111189. The next prime is 100111229. The reversal of 100111220 is 22111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111198 and 100111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111229) by changing a digit.

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, 22847 + ... + 26873.

It is an arithmetic number, because the mean of its divisors is an integer number (4821516).

Almost surely, 2^100111220 is an apocalyptic number.

100111220 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 100111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115716384).

100111220 is an abundant number, since it is smaller than the sum of its proper divisors (131321548).

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

100111220 is a wasteful number, since it uses less digits than its factorization.

100111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100111220 is about 10005.5594546232. The cubic root of 100111220 is about 464.3308987752.

Adding to 100111220 its reverse (22111001), we get a palindrome (122222221).

It can be divided in two parts, 1001 and 11220, that added together give a palindrome (12221).

The spelling of 100111220 in words is "one hundred million, one hundred eleven thousand, two hundred twenty".