100002031200 has 864 divisors, whose sum is σ = 398262009600. Its totient is φ = 23484764160.

The previous prime is 100002031193. The next prime is 100002031231. The reversal of 100002031200 is 2130200001.

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 143 ways as a sum of consecutive naturals, for example, 116416371 + ... + 116417229.

It is an arithmetic number, because the mean of its divisors is an integer number (460951400).

Almost surely, 2^100002031200 is an apocalyptic number.

100002031200 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 100002031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199131004800).

100002031200 is an abundant number, since it is smaller than the sum of its proper divisors (298259978400).

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

100002031200 is a wasteful number, since it uses less digits than its factorization.

100002031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

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

Adding to 100002031200 its reverse (2130200001), we get a palindrome (102132231201).

The spelling of 100002031200 in words is "one hundred billion, two million, thirty-one thousand, two hundred".