1012100320 has 192 divisors, whose sum is σ = 3011613696. Its totient is φ = 312238080.

The previous prime is 1012100317. The next prime is 1012100333. The reversal of 1012100320 is 230012101.

1012100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1012100297 and 1012100306.

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, 1391797 + ... + 1392523.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2^1012100320 is an apocalyptic number.

1012100320 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 1012100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

1012100320 is an abundant number, since it is smaller than the sum of its proper divisors (1999513376).

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

1012100320 is a wasteful number, since it uses less digits than its factorization.

1012100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1012100320 is about 31813.5241681899. The cubic root of 1012100320 is about 1004.0172798516.

Adding to 1012100320 its reverse (230012101), we get a palindrome (1242112421).

The spelling of 1012100320 in words is "one billion, twelve million, one hundred thousand, three hundred twenty".