2010444010000 has 50 divisors (see below), whose sum is σ = 4867486016822. Its totient is φ = 804177600000.

The previous prime is 2010444009991. The next prime is 2010444010009. The reversal of 2010444010000 is 104440102.

It is an interprime number because it is at equal distance from previous prime (2010444009991) and next prime (2010444010009).

It can be written as a sum of positive squares in 5 ways, for example, as 432837673216 + 1577606336784 = 657904^2 + 1256028^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2010444010009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 100512201 + ... + 100532200.

Almost surely, 2^{2010444010000} is an apocalyptic number.

2010444010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010444010000 is an abundant number, since it is smaller than the sum of its proper divisors (2857042006822).

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

2010444010000 is an equidigital number, since it uses as much as digits as its factorization.

2010444010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201044429 (or 201044408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2010444010000 its reverse (104440102), we get a palindrome (2010548450102).

The spelling of 2010444010000 in words is "two trillion, ten billion, four hundred forty-four million, ten thousand".