221021112211120 has 80 divisors (see below), whose sum is σ = 555718355498880. Its totient is φ = 81266339976192.

The previous prime is 221021112211099. The next prime is 221021112211127. The reversal of 221021112211120 is 21112211120122.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (221021112211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444354579 + ... + 444851698.

It is an arithmetic number, because the mean of its divisors is an integer number (6946479443736).

Almost surely, 2^{221021112211120} is an apocalyptic number.

221021112211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021112211120 is an abundant number, since it is smaller than the sum of its proper divisors (334697243287760).

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

221021112211120 is a wasteful number, since it uses less digits than its factorization.

221021112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889206542 (or 889206536 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221021112211120 its reverse (21112211120122), we get a palindrome (242133323331242).

The spelling of 221021112211120 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".