100300002120 has 384 divisors, whose sum is σ = 349090560000. Its totient is φ = 24902152704.

The previous prime is 100300002113. The next prime is 100300002133. The reversal of 100300002120 is 21200003001.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 226410619 + ... + 226411061.

It is an arithmetic number, because the mean of its divisors is an integer number (909090000).

Almost surely, 2^100300002120 is an apocalyptic number.

100300002120 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 100300002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280000).

100300002120 is an abundant number, since it is smaller than the sum of its proper divisors (248790557880).

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

100300002120 is a wasteful number, since it uses less digits than its factorization.

100300002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 970 counting only the distinct ones).

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

Adding to 100300002120 its reverse (21200003001), we get a palindrome (121500005121).

The spelling of 100300002120 in words is "one hundred billion, three hundred million, two thousand, one hundred twenty".