10001133022100 has 144 divisors (see below), whose sum is σ = 24182628212736. Its totient is φ = 3558884208000.

The previous prime is 10001133022073. The next prime is 10001133022103. The reversal of 10001133022100 is 122033110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001133022103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667491209 + ... + 667506191.

It is an arithmetic number, because the mean of its divisors is an integer number (167934918144).

Almost surely, 2^{10001133022100} is an apocalyptic number.

10001133022100 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 10001133022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091314106368).

10001133022100 is an abundant number, since it is smaller than the sum of its proper divisors (14181495190636).

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

10001133022100 is a wasteful number, since it uses less digits than its factorization.

10001133022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27966 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10001133022100 its reverse (122033110001), we get a palindrome (10123166132101).

The spelling of 10001133022100 in words is "ten trillion, one billion, one hundred thirty-three million, twenty-two thousand, one hundred".