220112100 has 144 divisors (see below), whose sum is σ = 762173440. Its totient is φ = 54172800.

The previous prime is 220112051. The next prime is 220112111. The reversal of 220112100 is 1211022.

220112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31965 + ... + 38235.

Almost surely, 2^220112100 is an apocalyptic number.

220112100 is a gapful number since it is divisible by the number (20) 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 220112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381086720).

220112100 is an abundant number, since it is smaller than the sum of its proper divisors (542061340).

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

220112100 is a wasteful number, since it uses less digits than its factorization.

220112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6294 counting only the distinct ones).

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

The square root of 220112100 is about 14836.1753831640. The cubic root of 220112100 is about 603.7835905851.

Adding to 220112100 its reverse (1211022), we get a palindrome (221323122).

The spelling of 220112100 in words is "two hundred twenty million, one hundred twelve thousand, one hundred".