221021001120 has 96 divisors (see below), whose sum is σ = 737170072128. Its totient is φ = 55471935488.

The previous prime is 221021001101. The next prime is 221021001133. The reversal of 221021001120 is 21100120122.

221021001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 221021001096 and 221021001105.

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 15 ways as a sum of consecutive naturals, for example, 13534794 + ... + 13551113.

It is an arithmetic number, because the mean of its divisors is an integer number (7678854918).

Almost surely, 2^221021001120 is an apocalyptic number.

221021001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021001120 is an abundant number, since it is smaller than the sum of its proper divisors (516149071008).

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

221021001120 is a wasteful number, since it uses less digits than its factorization.

221021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27085942 (or 27085934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221021001120 its reverse (21100120122), we get a palindrome (242121121242).

The spelling of 221021001120 in words is "two hundred twenty-one billion, twenty-one million, one thousand, one hundred twenty".