10000443102100 has 216 divisors, whose sum is σ = 24315498708480. Its totient is φ = 3566103340800.

The previous prime is 10000443102073. The next prime is 10000443102101. The reversal of 10000443102100 is 120134400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000443102101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2451687861 + ... + 2451691939.

It is an arithmetic number, because the mean of its divisors is an integer number (112571753280).

Almost surely, 2^{10000443102100} is an apocalyptic number.

10000443102100 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 10000443102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157749354240).

10000443102100 is an abundant number, since it is smaller than the sum of its proper divisors (14315055606380).

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

10000443102100 is a wasteful number, since it uses less digits than its factorization.

10000443102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10000443102100 its reverse (120134400001), we get a palindrome (10120577502101).

The spelling of 10000443102100 in words is "ten trillion, four hundred forty-three million, one hundred two thousand, one hundred".