1001221220320 has 48 divisors (see below), whose sum is σ = 2441687891328. Its totient is φ = 387569502720.

The previous prime is 1001221220309. The next prime is 1001221220323. The reversal of 1001221220320 is 230221221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1001221220294 and 1001221220303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001221220323) 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 7 ways as a sum of consecutive naturals, for example, 100924599 + ... + 100934518.

It is an arithmetic number, because the mean of its divisors is an integer number (50868497736).

Almost surely, 2^{1001221220320} is an apocalyptic number.

1001221220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001221220320 is an abundant number, since it is smaller than the sum of its proper divisors (1440466671008).

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

1001221220320 is a wasteful number, since it uses less digits than its factorization.

1001221220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201859163 (or 201859155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1001221220320 its reverse (230221221001), we get a palindrome (1231442441321).

The spelling of 1001221220320 in words is "one trillion, one billion, two hundred twenty-one million, two hundred twenty thousand, three hundred twenty".