10033410001120 has 192 divisors, whose sum is σ = 26987483142144. Its totient is φ = 3489318891520.

The previous prime is 10033410001067. The next prime is 10033410001127. The reversal of 10033410001120 is 2110001433001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10033410001094 and 10033410001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033410001127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 310586889 + ... + 310619191.

It is an arithmetic number, because the mean of its divisors is an integer number (140559808032).

Almost surely, 2^{10033410001120} is an apocalyptic number.

10033410001120 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 10033410001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493741571072).

10033410001120 is an abundant number, since it is smaller than the sum of its proper divisors (16954073141024).

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

10033410001120 is a wasteful number, since it uses less digits than its factorization.

10033410001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40025 (or 40017 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10033410001120 its reverse (2110001433001), we get a palindrome (12143411434121).

The spelling of 10033410001120 in words is "ten trillion, thirty-three billion, four hundred ten million, one thousand, one hundred twenty".