10000201010000 has 200 divisors, whose sum is σ = 24367393569288. Its totient is φ = 3974400000000.

The previous prime is 10000201009991. The next prime is 10000201010039. The reversal of 10000201010000 is 1010200001.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 9993640657984 + 6560352016 = 3161272^2 + 80996^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1111005500 + ... + 1111014500.

Almost surely, 2^{10000201010000} is an apocalyptic number.

10000201010000 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 10000201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183696784644).

10000201010000 is an abundant number, since it is smaller than the sum of its proper divisors (14367192559288).

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

10000201010000 is an equidigital number, since it uses as much as digits as its factorization.

10000201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9731 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000201010000 its reverse (1010200001), we get a palindrome (10001211210001).

The spelling of 10000201010000 in words is "ten trillion, two hundred one million, ten thousand".