100012220 has 96 divisors (see below), whose sum is σ = 264854016. Its totient is φ = 30816000.

The previous prime is 100012217. The next prime is 100012223. The reversal of 100012220 is 22210001.

It is an interprime number because it is at equal distance from previous prime (100012217) and next prime (100012223).

It is a junction number, because it is equal to n+sod(n) for n = 100012198 and 100012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155219 + ... + 155861.

It is an arithmetic number, because the mean of its divisors is an integer number (2758896).

Almost surely, 2^100012220 is an apocalyptic number.

100012220 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 100012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132427008).

100012220 is an abundant number, since it is smaller than the sum of its proper divisors (164841796).

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

100012220 is a wasteful number, since it uses less digits than its factorization.

100012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

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

The square root of 100012220 is about 10000.6109813351. The cubic root of 100012220 is about 464.1777893297.

Adding to 100012220 its reverse (22210001), we get a palindrome (122222221).

It can be divided in two parts, 10001 and 2220, that added together give a palindrome (12221).

The spelling of 100012220 in words is "one hundred million, twelve thousand, two hundred twenty".