100311412300 has 144 divisors (see below), whose sum is σ = 240414549984. Its totient is φ = 36025600000.

The previous prime is 100311412291. The next prime is 100311412381. The reversal of 100311412300 is 3214113001.

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 47 ways as a sum of consecutive naturals, for example, 57882234 + ... + 57883966.

It is an arithmetic number, because the mean of its divisors is an integer number (1669545486).

Almost surely, 2^100311412300 is an apocalyptic number.

100311412300 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 100311412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120207274992).

100311412300 is an abundant number, since it is smaller than the sum of its proper divisors (140103137684).

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

100311412300 is a wasteful number, since it uses less digits than its factorization.

100311412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100311412300 its reverse (3214113001), we get a palindrome (103525525301).

The spelling of 100311412300 in words is "one hundred billion, three hundred eleven million, four hundred twelve thousand, three hundred".