220101012 has 72 divisors (see below), whose sum is σ = 575757000. Its totient is φ = 70841088.

The previous prime is 220100987. The next prime is 220101017. The reversal of 220101012 is 210101022.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 218921616 = 1086^2 + 14796^2 .

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 = 220100985 and 220101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197914 + ... + 199022.

It is an arithmetic number, because the mean of its divisors is an integer number (7996625).

Almost surely, 2^220101012 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 220101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287878500).

220101012 is an abundant number, since it is smaller than the sum of its proper divisors (355655988).

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

220101012 is a wasteful number, since it uses less digits than its factorization.

220101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

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

The square root of 220101012 is about 14835.8016972458. The cubic root of 220101012 is about 603.7734520165.

Adding to 220101012 its reverse (210101022), we get a palindrome (430202034).

It can be divided in two parts, 2201010 and 12, that added together give a palindrome (2201022).

The spelling of 220101012 in words is "two hundred twenty million, one hundred one thousand, twelve".