221222101120 has 128 divisors (see below), whose sum is σ = 557321472000. Its totient is φ = 83737018368.

The previous prime is 221222101031. The next prime is 221222101151. The reversal of 221222101120 is 21101222122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221222101094 and 221222101103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11286849 + ... + 11306431.

It is an arithmetic number, because the mean of its divisors is an integer number (4354074000).

Almost surely, 2^221222101120 is an apocalyptic number.

221222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278660736000).

221222101120 is an abundant number, since it is smaller than the sum of its proper divisors (336099370880).

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

221222101120 is a wasteful number, since it uses less digits than its factorization.

221222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20550 (or 20538 counting only the distinct ones).

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

Adding to 221222101120 its reverse (21101222122), we get a palindrome (242323323242).

The spelling of 221222101120 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".