221120112002020 has 144 divisors (see below), whose sum is σ = 590055409762560. Its totient is φ = 68828780160000.

The previous prime is 221120112001969. The next prime is 221120112002029. The reversal of 221120112002020 is 20200211021122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221120112001985 and 221120112002003.

It is not an unprimeable number, because it can be changed into a prime (221120112002029) 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 47 ways as a sum of consecutive naturals, for example, 5560725 + ... + 21752284.

It is an arithmetic number, because the mean of its divisors is an integer number (4097607012240).

Almost surely, 2^{221120112002020} is an apocalyptic number.

221120112002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120112002020 is an abundant number, since it is smaller than the sum of its proper divisors (368935297760540).

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

221120112002020 is a wasteful number, since it uses less digits than its factorization.

221120112002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27313794 (or 27313785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221120112002020 its reverse (20200211021122), we get a palindrome (241320323023142).

The spelling of 221120112002020 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred twelve million, two thousand, twenty".