10002133300100 has 36 divisors (see below), whose sum is σ = 21705182849700. Its totient is φ = 4000751276160.

The previous prime is 10002133300067. The next prime is 10002133300111. The reversal of 10002133300100 is 100333120001.

It can be written as a sum of positive squares in 6 ways, for example, as 15433589824 + 9986699710276 = 124232^2 + 3160174^2 .

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 11 ways as a sum of consecutive naturals, for example, 2727266 + ... + 5238534.

It is an arithmetic number, because the mean of its divisors is an integer number (602921745825).

Almost surely, 2^{10002133300100} is an apocalyptic number.

10002133300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002133300100 is an abundant number, since it is smaller than the sum of its proper divisors (11703049549600).

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

10002133300100 is a wasteful number, since it uses less digits than its factorization.

10002133300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551112 (or 2551105 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10002133300100 its reverse (100333120001), we get a palindrome (10102466420101).

The spelling of 10002133300100 in words is "ten trillion, two billion, one hundred thirty-three million, three hundred thousand, one hundred".