222100211120 has 80 divisors (see below), whose sum is σ = 533143876608. Its totient is φ = 85990625280.

The previous prime is 222100211057. The next prime is 222100211141. The reversal of 222100211120 is 21112001222.

222100211120 is digitally balanced in base 3, 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 222100211095 and 222100211104.

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, 149972 + ... + 683148.

Almost surely, 2^222100211120 is an apocalyptic number.

222100211120 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 222100211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266571938304).

222100211120 is an abundant number, since it is smaller than the sum of its proper divisors (311043665488).

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

222100211120 is a wasteful number, since it uses less digits than its factorization.

222100211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533358 (or 533352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222100211120 its reverse (21112001222), we get a palindrome (243212212342).

The spelling of 222100211120 in words is "two hundred twenty-two billion, one hundred million, two hundred eleven thousand, one hundred twenty".