100310302120 has 128 divisors (see below), whose sum is σ = 259687296000. Its totient is φ = 34160025600.

The previous prime is 100310302111. The next prime is 100310302123. The reversal of 100310302120 is 21203013001.

It is a super-2 number, since 2×100310302120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100310302120.

It is not an unprimeable number, because it can be changed into a prime (100310302123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29082156 + ... + 29085604.

It is an arithmetic number, because the mean of its divisors is an integer number (2028807000).

Almost surely, 2^100310302120 is an apocalyptic number.

100310302120 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 100310302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129843648000).

100310302120 is an abundant number, since it is smaller than the sum of its proper divisors (159376993880).

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

100310302120 is a wasteful number, since it uses less digits than its factorization.

100310302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100310302120 its reverse (21203013001), we get a palindrome (121513315121).

The spelling of 100310302120 in words is "one hundred billion, three hundred ten million, three hundred two thousand, one hundred twenty".