1001220320100 has 432 divisors, whose sum is σ = 3918974697344. Its totient is φ = 192041625600.

The previous prime is 1001220320077. The next prime is 1001220320143. The reversal of 1001220320100 is 10230221001.

1001220320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001220320100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3151752 + ... + 3454848.

Almost surely, 2^{1001220320100} is an apocalyptic number.

1001220320100 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 1001220320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959487348672).

1001220320100 is an abundant number, since it is smaller than the sum of its proper divisors (2917754377244).

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

1001220320100 is a wasteful number, since it uses less digits than its factorization.

1001220320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303156 (or 303138 counting only the distinct ones).

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

Adding to 1001220320100 its reverse (10230221001), we get a palindrome (1011450541101).

Subtracting from 1001220320100 its reverse (10230221001), we obtain a palindrome (990990099099).

The spelling of 1001220320100 in words is "one trillion, one billion, two hundred twenty million, three hundred twenty thousand, one hundred".