2021100002220 has 192 divisors, whose sum is σ = 6361998935040. Its totient is φ = 475674135552.

The previous prime is 2021100002203. The next prime is 2021100002237. The reversal of 2021100002220 is 222000011202.

It is an interprime number because it is at equal distance from previous prime (2021100002203) and next prime (2021100002237).

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 = 2021100002196 and 2021100002205.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 45850551 + ... + 45894609.

It is an arithmetic number, because the mean of its divisors is an integer number (33135411120).

Almost surely, 2^{2021100002220} is an apocalyptic number.

2021100002220 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 2021100002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180999467520).

2021100002220 is an abundant number, since it is smaller than the sum of its proper divisors (4340898932820).

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

2021100002220 is a wasteful number, since it uses less digits than its factorization.

2021100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46664 (or 46662 counting only the distinct ones).

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

Adding to 2021100002220 its reverse (222000011202), we get a palindrome (2243100013422).

The spelling of 2021100002220 in words is "two trillion, twenty-one billion, one hundred million, two thousand, two hundred twenty".