101000203200 has 504 divisors, whose sum is σ = 387788200800. Its totient is φ = 24784773120.

The previous prime is 101000203169. The next prime is 101000203207. The reversal of 101000203200 is 2302000101.

It is a happy number.

It is a super-3 number, since 3×101000203200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000203207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82180186 + ... + 82181414.

Almost surely, 2^101000203200 is an apocalyptic number.

101000203200 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 101000203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193894100400).

101000203200 is an abundant number, since it is smaller than the sum of its proper divisors (286787997600).

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

101000203200 is a wasteful number, since it uses less digits than its factorization.

101000203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1691 counting only the distinct ones).

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

Adding to 101000203200 its reverse (2302000101), we get a palindrome (103302203301).

The spelling of 101000203200 in words is "one hundred one billion, two hundred three thousand, two hundred".