100200031200 has 432 divisors, whose sum is σ = 363996608976. Its totient is φ = 25920921600.

The previous prime is 100200031199. The next prime is 100200031237. The reversal of 100200031200 is 2130002001.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 58153539 + ... + 58155261.

It is an arithmetic number, because the mean of its divisors is an integer number (842584743).

Almost surely, 2^100200031200 is an apocalyptic number.

100200031200 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 100200031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181998304488).

100200031200 is an abundant number, since it is smaller than the sum of its proper divisors (263796577776).

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

100200031200 is a wasteful number, since it uses less digits than its factorization.

100200031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1971 counting only the distinct ones).

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

Adding to 100200031200 its reverse (2130002001), we get a palindrome (102330033201).

The spelling of 100200031200 in words is "one hundred billion, two hundred million, thirty-one thousand, two hundred".