2010221120000 has 100 divisors (see below), whose sum is σ = 5019039226146. Its totient is φ = 804088320000.

The previous prime is 2010221119979. The next prime is 2010221120057. The reversal of 2010221120000 is 211220102.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5754132736 + 2004466987264 = 75856^2 + 1415792^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2820971 + ... + 3460970.

Almost surely, 2^{2010221120000} is an apocalyptic number.

2010221120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010221120000 is an abundant number, since it is smaller than the sum of its proper divisors (3008818106146).

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

2010221120000 is an frugal number, since it uses more digits than its factorization.

2010221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281979 (or 6281948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2010221120000 its reverse (211220102), we get a palindrome (2010432340102).

The spelling of 2010221120000 in words is "two trillion, ten billion, two hundred twenty-one million, one hundred twenty thousand".