100302120120 has 128 divisors (see below), whose sum is σ = 302554103040. Its totient is φ = 26601031680.

The previous prime is 100302120119. The next prime is 100302120143. The reversal of 100302120120 is 21021203001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100302120096 and 100302120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42302535 + ... + 42304905.

It is an arithmetic number, because the mean of its divisors is an integer number (2363703930).

Almost surely, 2^100302120120 is an apocalyptic number.

100302120120 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 100302120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151277051520).

100302120120 is an abundant number, since it is smaller than the sum of its proper divisors (202251982920).

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

100302120120 is a wasteful number, since it uses less digits than its factorization.

100302120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100302120120 its reverse (21021203001), we get a palindrome (121323323121).

The spelling of 100302120120 in words is "one hundred billion, three hundred two million, one hundred twenty thousand, one hundred twenty".