10201020010000 has 200 divisors, whose sum is σ = 26385624272480. Its totient is φ = 3807948672000.

The previous prime is 10201020009989. The next prime is 10201020010037. The reversal of 10201020010000 is 1002010201.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12329332 + ... + 13130668.

Almost surely, 2^{10201020010000} is an apocalyptic number.

10201020010000 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 10201020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192812136240).

10201020010000 is an abundant number, since it is smaller than the sum of its proper divisors (16184604262480).

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

10201020010000 is an equidigital number, since it uses as much as digits as its factorization.

10201020010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801451 (or 801430 counting only the distinct ones).

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

Adding to 10201020010000 its reverse (1002010201), we get a palindrome (10202022020201).

The spelling of 10201020010000 in words is "ten trillion, two hundred one billion, twenty million, ten thousand".