220000100112 has 320 divisors, whose sum is σ = 712169418240. Its totient is φ = 64517105664.

The previous prime is 220000100081. The next prime is 220000100143. The reversal of 220000100112 is 211001000022.

It is an interprime number because it is at equal distance from previous prime (220000100081) and next prime (220000100143).

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 = 220000100094 and 220000100103.

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 63 ways as a sum of consecutive naturals, for example, 37843318 + ... + 37849130.

It is an arithmetic number, because the mean of its divisors is an integer number (2225529432).

Almost surely, 2^220000100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356084709120).

220000100112 is an abundant number, since it is smaller than the sum of its proper divisors (492169318128).

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

220000100112 is a wasteful number, since it uses less digits than its factorization.

220000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6147 counting only the distinct ones).

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

Adding to 220000100112 its reverse (211001000022), we get a palindrome (431001100134).

The spelling of 220000100112 in words is "two hundred twenty billion, one hundred thousand, one hundred twelve".