1000100120320 has 144 divisors (see below), whose sum is σ = 2770761369600. Its totient is φ = 338759995392.

The previous prime is 1000100120309. The next prime is 1000100120333. The reversal of 1000100120320 is 230210010001.

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 = 1000100120297 and 1000100120306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71281 + ... + 1416079.

It is an arithmetic number, because the mean of its divisors is an integer number (19241398400).

Almost surely, 2^{1000100120320} is an apocalyptic number.

1000100120320 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 1000100120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385380684800).

1000100120320 is an abundant number, since it is smaller than the sum of its proper divisors (1770661249280).

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

1000100120320 is an equidigital number, since it uses as much as digits as its factorization.

1000100120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344910 (or 1344896 counting only the distinct ones).

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

Adding to 1000100120320 its reverse (230210010001), we get a palindrome (1230310130321).

The spelling of 1000100120320 in words is "one trillion, one hundred million, one hundred twenty thousand, three hundred twenty".