1001221000000 has 196 divisors, whose sum is σ = 2674536156124. Its totient is φ = 369676800000.

The previous prime is 1001220999991. The next prime is 1001221000019. The reversal of 1001221000000 is 1221001.

It can be written as a sum of positive squares in 14 ways, for example, as 894250139904 + 106970860096 = 945648^2 + 327064^2 .

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 12961492 + ... + 13038508.

Almost surely, 2^{1001221000000} is an apocalyptic number.

1001221000000 is a gapful number since it is divisible by the number (10) 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 1001221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337268078062).

1001221000000 is an abundant number, since it is smaller than the sum of its proper divisors (1673315156124).

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

1001221000000 is an frugal number, since it uses more digits than its factorization.

1001221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77072 (or 77037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001221000000 its reverse (1221001), we get a palindrome (1001222221001).

The spelling of 1001221000000 in words is "one trillion, one billion, two hundred twenty-one million", and thus it is an aban number.