10011133320210 has 144 divisors (see below), whose sum is σ = 28626705139032. Its totient is φ = 2425552335360.

The previous prime is 10011133320197. The next prime is 10011133320239. The reversal of 10011133320210 is 1202333111001.

10011133320210 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 133 + 320 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5068617346881 + 4942515973329 = 2251359^2 + 2223177^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18827964 + ... + 19352376.

Almost surely, 2^{10011133320210} is an apocalyptic number.

10011133320210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011133320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313352569516).

10011133320210 is an abundant number, since it is smaller than the sum of its proper divisors (18615571818822).

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

10011133320210 is a wasteful number, since it uses less digits than its factorization.

10011133320210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526201 (or 526187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10011133320210 its reverse (1202333111001), we get a palindrome (11213466431211).

The spelling of 10011133320210 in words is "ten trillion, eleven billion, one hundred thirty-three million, three hundred twenty thousand, two hundred ten".