100281300000 has 864 divisors, whose sum is σ = 405804276864. Its totient is φ = 21166080000.

The previous prime is 100281299999. The next prime is 100281300013. The reversal of 100281300000 is 3182001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1892099974 + ... + 1892100026.

It is an arithmetic number, because the mean of its divisors is an integer number (469680876).

Almost surely, 2^100281300000 is an apocalyptic number.

100281300000 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 100281300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202902138432).

100281300000 is an abundant number, since it is smaller than the sum of its proper divisors (305522976864).

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

100281300000 is an frugal number, since it uses more digits than its factorization.

100281300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100281300000 its reverse (3182001), we get a palindrome (100284482001).

The spelling of 100281300000 in words is "one hundred billion, two hundred eighty-one million, three hundred thousand".