10133221130100 has 288 divisors, whose sum is σ = 34725055232000. Its totient is φ = 2527565938560.

The previous prime is 10133221130059. The next prime is 10133221130143. The reversal of 10133221130100 is 103112233101.

10133221130100 is a `hidden beast` number, since 10 + 1 + 332 + 21 + 1 + 301 + 0 + 0 = 666.

It is a super-3 number, since 3×10133221130100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2802519 + ... + 5302881.

Almost surely, 2^{10133221130100} is an apocalyptic number.

10133221130100 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 10133221130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362527616000).

10133221130100 is an abundant number, since it is smaller than the sum of its proper divisors (24591834101900).

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

10133221130100 is a wasteful number, since it uses less digits than its factorization.

10133221130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500484 (or 2500471 counting only the distinct ones).

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

Adding to 10133221130100 its reverse (103112233101), we get a palindrome (10236333363201).

The spelling of 10133221130100 in words is "ten trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred thirty thousand, one hundred".