10032010210000 has 100 divisors (see below), whose sum is σ = 24290235339700. Its totient is φ = 4012517376000.

The previous prime is 10032010209983. The next prime is 10032010210003. The reversal of 10032010210000 is 1201023001.

10032010210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1737471969424 + 8294538240576 = 1318132^2 + 2880024^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032010210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 190663696 + ... + 190716304.

It is an arithmetic number, because the mean of its divisors is an integer number (242902353397).

Almost surely, 2^{10032010210000} is an apocalyptic number.

10032010210000 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 10032010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12145117669850).

10032010210000 is an abundant number, since it is smaller than the sum of its proper divisors (14258225129700).

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

10032010210000 is an equidigital number, since it uses as much as digits as its factorization.

10032010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71706 (or 71685 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10032010210000 its reverse (1201023001), we get a palindrome (10033211233001).

The spelling of 10032010210000 in words is "ten trillion, thirty-two billion, ten million, two hundred ten thousand".