10020201010000 has 100 divisors (see below), whose sum is σ = 24262645258852. Its totient is φ = 4007628288000.

The previous prime is 10020201009979. The next prime is 10020201010007. The reversal of 10020201010000 is 1010202001.

It can be written as a sum of positive squares in 10 ways, for example, as 7412376514624 + 2607824495376 = 2722568^2 + 1614876^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020201010007) 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, 96918334 + ... + 97021666.

Almost surely, 2^{10020201010000} is an apocalyptic number.

10020201010000 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 10020201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131322629426).

10020201010000 is an abundant number, since it is smaller than the sum of its proper divisors (14242444248852).

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

10020201010000 is an equidigital number, since it uses as much as digits as its factorization.

10020201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113058 (or 113037 counting only the distinct ones).

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

Adding to 10020201010000 its reverse (1010202001), we get a palindrome (10021211212001).

The spelling of 10020201010000 in words is "ten trillion, twenty billion, two hundred one million, ten thousand".