10212010000 has 100 divisors (see below), whose sum is σ = 25131114844. Its totient is φ = 4017600000.

The previous prime is 10212009989. The next prime is 10212010001. The reversal of 10212010000 is 1021201.

It can be written as a sum of positive squares in 10 ways, for example, as 7735554304 + 2476455696 = 87952^2 + 49764^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10212010001) by changing a digit.

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, 601630 + ... + 618370.

Almost surely, 2^10212010000 is an apocalyptic number.

10212010000 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 10212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565557422).

10212010000 is an abundant number, since it is smaller than the sum of its proper divisors (14919104844).

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

10212010000 is an equidigital number, since it uses as much as digits as its factorization.

10212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16830 (or 16809 counting only the distinct ones).

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

Adding to 10212010000 its reverse (1021201), we get a palindrome (10213031201).

10212010000 divided by its reverse (1021201) gives a 4-th power (10000 = 10⁴).

The spelling of 10212010000 in words is "ten billion, two hundred twelve million, ten thousand".