2201000021220 has 1728 divisors, whose sum is σ = 9187706223360. Its totient is φ = 388566097920.

The previous prime is 2201000021203. The next prime is 2201000021237. The reversal of 2201000021220 is 221200001022.

It is an interprime number because it is at equal distance from previous prime (2201000021203) and next prime (2201000021237).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2201000021196 and 2201000021205.

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 575 ways as a sum of consecutive naturals, for example, 3251107522 + ... + 3251108198.

It is an arithmetic number, because the mean of its divisors is an integer number (5316959620).

Almost surely, 2^{2201000021220} is an apocalyptic number.

2201000021220 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 2201000021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593853111680).

2201000021220 is an abundant number, since it is smaller than the sum of its proper divisors (6986706202140).

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

2201000021220 is a wasteful number, since it uses less digits than its factorization.

2201000021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2201000021220 its reverse (221200001022), we get a palindrome (2422200022242).

The spelling of 2201000021220 in words is "two trillion, two hundred one billion, twenty-one thousand, two hundred twenty".