100221001120 has 48 divisors (see below), whose sum is σ = 244409937408. Its totient is φ = 38795224320.

The previous prime is 100221001033. The next prime is 100221001123. The reversal of 100221001120 is 21100122001.

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 = 100221001097 and 100221001106.

It is not an unprimeable number, because it can be changed into a prime (100221001123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10097964 + ... + 10107883.

It is an arithmetic number, because the mean of its divisors is an integer number (5091873696).

Almost surely, 2^100221001120 is an apocalyptic number.

100221001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221001120 is an abundant number, since it is smaller than the sum of its proper divisors (144188936288).

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

100221001120 is a wasteful number, since it uses less digits than its factorization.

100221001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205893 (or 20205885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221001120 its reverse (21100122001), we get a palindrome (121321123121).

The spelling of 100221001120 in words is "one hundred billion, two hundred twenty-one million, one thousand, one hundred twenty".