10100203200 has 504 divisors, whose sum is σ = 39160551600. Its totient is φ = 2531819520.

The previous prime is 10100203129. The next prime is 10100203229. The reversal of 10100203200 is 230200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12484396 + ... + 12485204.

Almost surely, 2^10100203200 is an apocalyptic number.

10100203200 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 10100203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580275800).

10100203200 is an abundant number, since it is smaller than the sum of its proper divisors (29060348400).

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

10100203200 is a wasteful number, since it uses less digits than its factorization.

10100203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100203200 its reverse (230200101), we get a palindrome (10330403301).

The spelling of 10100203200 in words is "ten billion, one hundred million, two hundred three thousand, two hundred".