10011020010200 has 96 divisors (see below), whose sum is σ = 25396690311360. Its totient is φ = 3639639273600.

The previous prime is 10011020010157. The next prime is 10011020010223. The reversal of 10011020010200 is 201002011001.

10011020010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10551827 + ... + 11461373.

It is an arithmetic number, because the mean of its divisors is an integer number (264548857410).

Almost surely, 2^{10011020010200} is an apocalyptic number.

10011020010200 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 10011020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12698345155680).

10011020010200 is an abundant number, since it is smaller than the sum of its proper divisors (15385670301160).

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

10011020010200 is a wasteful number, since it uses less digits than its factorization.

10011020010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914577 (or 914568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10011020010200 its reverse (201002011001), we get a palindrome (10212022021201).

The spelling of 10011020010200 in words is "ten trillion, eleven billion, twenty million, ten thousand, two hundred".