100220112 has 80 divisors (see below), whose sum is σ = 289912000. Its totient is φ = 33146496.

The previous prime is 100220101. The next prime is 100220119. The reversal of 100220112 is 211022001.

100220112 = 3³ + 4³ + ... + 141³.

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

It is a junction number, because it is equal to n+sod(n) for n = 100220094 and 100220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59214 + ... + 60882.

It is an arithmetic number, because the mean of its divisors is an integer number (3623900).

Almost surely, 2^100220112 is an apocalyptic number.

100220112 is a gapful number since it is divisible by the number (12) 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 100220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144956000).

100220112 is an abundant number, since it is smaller than the sum of its proper divisors (189691888).

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

100220112 is a wasteful number, since it uses less digits than its factorization.

100220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100220112 is about 10010.9995504944. Note that the first 3 decimals coincide. The cubic root of 100220112 is about 464.4991902649.

Adding to 100220112 its reverse (211022001), we get a palindrome (311242113).

The spelling of 100220112 in words is "one hundred million, two hundred twenty thousand, one hundred twelve".