10011130202000 has 80 divisors (see below), whose sum is σ = 24229065340272. Its totient is φ = 4000787481600.

The previous prime is 10011130201967. The next prime is 10011130202009. The reversal of 10011130202000 is 20203111001.

It can be written as a sum of positive squares in 8 ways, for example, as 33719242384 + 9977410959616 = 183628^2 + 3158704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10011130202009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103829 + ... + 4475828.

Almost surely, 2^{10011130202000} is an apocalyptic number.

10011130202000 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 10011130202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114532670136).

10011130202000 is an abundant number, since it is smaller than the sum of its proper divisors (14217935138272).

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

10011130202000 is a wasteful number, since it uses less digits than its factorization.

10011130202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580773 (or 4580757 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10011130202000 its reverse (20203111001), we get a palindrome (10031333313001).

The spelling of 10011130202000 in words is "ten trillion, eleven billion, one hundred thirty million, two hundred two thousand".