2001100200220 has 96 divisors (see below), whose sum is σ = 4749434585280. Its totient is φ = 701541335040.

The previous prime is 2001100200193. The next prime is 2001100200227. The reversal of 2001100200220 is 220020011002.

It is a super-2 number, since 2×2001100200220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001100200197 and 2001100200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100200227) 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, 4087612 + ... + 4550908.

It is an arithmetic number, because the mean of its divisors is an integer number (49473276930).

Almost surely, 2^{2001100200220} is an apocalyptic number.

2001100200220 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 2001100200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374717292640).

2001100200220 is an abundant number, since it is smaller than the sum of its proper divisors (2748334385060).

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

2001100200220 is a wasteful number, since it uses less digits than its factorization.

2001100200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464023 (or 464021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2001100200220 its reverse (220020011002), we get a palindrome (2221120211222).

The spelling of 2001100200220 in words is "two trillion, one billion, one hundred million, two hundred thousand, two hundred twenty".