10000133010100 has 36 divisors (see below), whose sum is σ = 21700865329164. Its totient is φ = 3999946900480.

The previous prime is 10000133010061. The next prime is 10000133010137. The reversal of 10000133010100 is 101033100001.

It can be written as a sum of positive squares in 6 ways, for example, as 2716978602276 + 7283154407824 = 1648326^2 + 2698732^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2507994 + ... + 5127406.

It is an arithmetic number, because the mean of its divisors is an integer number (602801814699).

Almost surely, 2^{10000133010100} is an apocalyptic number.

10000133010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000133010100 is an abundant number, since it is smaller than the sum of its proper divisors (11700732319064).

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

10000133010100 is a wasteful number, since it uses less digits than its factorization.

10000133010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657604 (or 2657597 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10000133010100 its reverse (101033100001), we get a palindrome (10101166110101).

The spelling of 10000133010100 in words is "ten trillion, one hundred thirty-three million, ten thousand, one hundred".