10200352512 has 144 divisors (see below), whose sum is σ = 32851429632. Its totient is φ = 2742927360.

The previous prime is 10200352447. The next prime is 10200352523. The reversal of 10200352512 is 21525300201.

10200352512 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 (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35587 + ... + 147197.

It is an arithmetic number, because the mean of its divisors is an integer number (228134928).

Almost surely, 2^10200352512 is an apocalyptic number.

10200352512 is a gapful number since it is divisible by the number (12) 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 10200352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425714816).

10200352512 is an abundant number, since it is smaller than the sum of its proper divisors (22651077120).

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

10200352512 is a wasteful number, since it uses less digits than its factorization.

10200352512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111654 (or 111640 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10200352512 its reverse (21525300201), we get a palindrome (31725652713).

The spelling of 10200352512 in words is "ten billion, two hundred million, three hundred fifty-two thousand, five hundred twelve".