10200233000 has 64 divisors (see below), whose sum is σ = 23907283920. Its totient is φ = 4073472000.

The previous prime is 10200232981. The next prime is 10200233023. The reversal of 10200233000 is 33200201.

It can be written as a sum of positive squares in 8 ways, for example, as 3089358724 + 7110874276 = 55582^2 + 84326^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633044 + ... + 648956.

Almost surely, 2^10200233000 is an apocalyptic number.

10200233000 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 10200233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11953641960).

10200233000 is an abundant number, since it is smaller than the sum of its proper divisors (13707050920).

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

10200233000 is a wasteful number, since it uses less digits than its factorization.

10200233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16575 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10200233000 its reverse (33200201), we get a palindrome (10233433201).

The spelling of 10200233000 in words is "ten billion, two hundred million, two hundred thirty-three thousand".