220101201001220 has 384 divisors, whose sum is σ = 611454195781632. Its totient is φ = 64430980300800.

The previous prime is 220101201001207. The next prime is 220101201001223. The reversal of 220101201001220 is 22100102101022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220101201001195 and 220101201001204.

It is not an unprimeable number, because it can be changed into a prime (220101201001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51898418300 + ... + 51898422540.

It is an arithmetic number, because the mean of its divisors is an integer number (1592328634848).

Almost surely, 2^{220101201001220} is an apocalyptic number.

220101201001220 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 220101201001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305727097890816).

220101201001220 is an abundant number, since it is smaller than the sum of its proper divisors (391352994780412).

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

220101201001220 is a wasteful number, since it uses less digits than its factorization.

220101201001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220101201001220 its reverse (22100102101022), we get a palindrome (242201303102242).

The spelling of 220101201001220 in words is "two hundred twenty trillion, one hundred one billion, two hundred one million, one thousand, two hundred twenty".