10066133100 has 72 divisors (see below), whose sum is σ = 29163220240. Its totient is φ = 2680750080.

The previous prime is 10066133089. The next prime is 10066133107. The reversal of 10066133100 is 133166001.

10066133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10066133100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208884 + ... + 252516.

Almost surely, 2^10066133100 is an apocalyptic number.

10066133100 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 10066133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581610120).

10066133100 is an abundant number, since it is smaller than the sum of its proper divisors (19097087140).

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

10066133100 is a wasteful number, since it uses less digits than its factorization.

10066133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44419 (or 44412 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10066133100 its reverse (133166001), we get a palindrome (10199299101).

The spelling of 10066133100 in words is "ten billion, sixty-six million, one hundred thirty-three thousand, one hundred".