1000221100720 has 80 divisors (see below), whose sum is σ = 2370059458272. Its totient is φ = 392428974080.

The previous prime is 1000221100717. The next prime is 1000221100721. The reversal of 1000221100720 is 270011220001.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1000221100694 and 1000221100703.

It is not an unprimeable number, because it can be changed into a prime (1000221100721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15915279 + ... + 15978001.

Almost surely, 2^{1000221100720} is an apocalyptic number.

1000221100720 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 1000221100720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185029729136).

1000221100720 is an abundant number, since it is smaller than the sum of its proper divisors (1369838357552).

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

1000221100720 is a wasteful number, since it uses less digits than its factorization.

1000221100720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66550 (or 66544 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 1000221100720 its reverse (270011220001), we get a palindrome (1270232320721).

The spelling of 1000221100720 in words is "one trillion, two hundred twenty-one million, one hundred thousand, seven hundred twenty".