10201233120 has 192 divisors, whose sum is σ = 34765645824. Its totient is φ = 2499471360.

The previous prime is 10201233103. The next prime is 10201233121. The reversal of 10201233120 is 2133210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10201233120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201233121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387855 + ... + 1395185.

It is an arithmetic number, because the mean of its divisors is an integer number (181071072).

Almost surely, 2^10201233120 is an apocalyptic number.

10201233120 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 10201233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382822912).

10201233120 is an abundant number, since it is smaller than the sum of its proper divisors (24564412704).

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

10201233120 is a wasteful number, since it uses less digits than its factorization.

10201233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10201233120 its reverse (2133210201), we get a palindrome (12334443321).

The spelling of 10201233120 in words is "ten billion, two hundred one million, two hundred thirty-three thousand, one hundred twenty".