221001100120 has 32 divisors (see below), whose sum is σ = 503546817600. Its totient is φ = 87281445888.

The previous prime is 221001100097. The next prime is 221001100153. The reversal of 221001100120 is 21001100122.

221001100120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 = 221001100097 and 221001100106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34965369 + ... + 34971688.

It is an arithmetic number, because the mean of its divisors is an integer number (15735838050).

Almost surely, 2^221001100120 is an apocalyptic number.

221001100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001100120 is an abundant number, since it is smaller than the sum of its proper divisors (282545717480).

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

221001100120 is a wasteful number, since it uses less digits than its factorization.

221001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69937147 (or 69937143 counting only the distinct ones).

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

Adding to 221001100120 its reverse (21001100122), we get a palindrome (242002200242).

The spelling of 221001100120 in words is "two hundred twenty-one billion, one million, one hundred thousand, one hundred twenty".