2221100222120 has 256 divisors, whose sum is σ = 5599681113600. Its totient is φ = 787784417280.

The previous prime is 2221100222087. The next prime is 2221100222179. The reversal of 2221100222120 is 212220011222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223693316 + ... + 223703244.

It is an arithmetic number, because the mean of its divisors is an integer number (21873754350).

Almost surely, 2^{2221100222120} is an apocalyptic number.

2221100222120 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 2221100222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799840556800).

2221100222120 is an abundant number, since it is smaller than the sum of its proper divisors (3378580891480).

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

2221100222120 is a wasteful number, since it uses less digits than its factorization.

2221100222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2221100222120 its reverse (212220011222), we get a palindrome (2433320233342).

The spelling of 2221100222120 in words is "two trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".