10011220000 has 120 divisors (see below), whose sum is σ = 24970128876. Its totient is φ = 3949056000.

The previous prime is 10011219997. The next prime is 10011220013. The reversal of 10011220000 is 2211001.

It can be written as a sum of positive squares in 10 ways, for example, as 3190442256 + 6820777744 = 56484^2 + 82588^2 .

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 19 ways as a sum of consecutive naturals, for example, 1456572 + ... + 1463428.

Almost surely, 2^10011220000 is an apocalyptic number.

10011220000 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 10011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485064438).

10011220000 is an abundant number, since it is smaller than the sum of its proper divisors (14958908876).

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

10011220000 is an frugal number, since it uses more digits than its factorization.

10011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6937 counting only the distinct ones).

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

Adding to 10011220000 its reverse (2211001), we get a palindrome (10013431001).

The spelling of 10011220000 in words is "ten billion, eleven million, two hundred twenty thousand".