2220101010000 has 300 divisors, whose sum is σ = 7973864087332. Its totient is φ = 576025344000.

The previous prime is 2220101009999. The next prime is 2220101010011. The reversal of 2220101010000 is 101010222.

It can be written as a sum of positive squares in 10 ways, for example, as 481563826704 + 1738537183296 = 693948^2 + 1318536^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2996652 + ... + 3663348.

Almost surely, 2^{2220101010000} is an apocalyptic number.

2220101010000 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 2220101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986932043666).

2220101010000 is an abundant number, since it is smaller than the sum of its proper divisors (5753763077332).

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

2220101010000 is a wasteful number, since it uses less digits than its factorization.

2220101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666768 (or 666744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2220101010000 its reverse (101010222), we get a palindrome (2220202020222).

The spelling of 2220101010000 in words is "two trillion, two hundred twenty billion, one hundred one million, ten thousand".