10011121433300 has 288 divisors, whose sum is σ = 23798695536000. Its totient is φ = 3633387264000.

The previous prime is 10011121433293. The next prime is 10011121433321. The reversal of 10011121433300 is 333412111001.

10011121433300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10638810830 + ... + 10638811770.

It is an arithmetic number, because the mean of its divisors is an integer number (82634359500).

Almost surely, 2^{10011121433300} is an apocalyptic number.

10011121433300 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 10011121433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899347768000).

10011121433300 is an abundant number, since it is smaller than the sum of its proper divisors (13787574102700).

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

10011121433300 is a wasteful number, since it uses less digits than its factorization.

10011121433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10011121433300 its reverse (333412111001), we get a palindrome (10344533544301).

The spelling of 10011121433300 in words is "ten trillion, eleven billion, one hundred twenty-one million, four hundred thirty-three thousand, three hundred".