2221000220010 has 256 divisors, whose sum is σ = 6400283516928. Its totient is φ = 486070886400.

The previous prime is 2221000220003. The next prime is 2221000220017. The reversal of 2221000220010 is 100220001222.

It is an interprime number because it is at equal distance from previous prime (2221000220003) and next prime (2221000220017).

It is not an unprimeable number, because it can be changed into a prime (2221000220017) 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, 342162865 + ... + 342169355.

It is an arithmetic number, because the mean of its divisors is an integer number (25001107488).

Almost surely, 2^{2221000220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221000220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200141758464).

2221000220010 is an abundant number, since it is smaller than the sum of its proper divisors (4179283296918).

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

2221000220010 is a wasteful number, since it uses less digits than its factorization.

2221000220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269.

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

Adding to 2221000220010 its reverse (100220001222), we get a palindrome (2321220221232).

The spelling of 2221000220010 in words is "two trillion, two hundred twenty-one billion, two hundred twenty thousand, ten".