222102002120 has 128 divisors (see below), whose sum is σ = 515135808000. Its totient is φ = 86135132160.

The previous prime is 222102002119. The next prime is 222102002131. The reversal of 222102002120 is 21200201222.

It is a junction number, because it is equal to n+sod(n) for n = 222102002095 and 222102002104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168131060 + ... + 168132380.

It is an arithmetic number, because the mean of its divisors is an integer number (4024498500).

Almost surely, 2^222102002120 is an apocalyptic number.

222102002120 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 222102002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257567904000).

222102002120 is an abundant number, since it is smaller than the sum of its proper divisors (293033805880).

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

222102002120 is a wasteful number, since it uses less digits than its factorization.

222102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222102002120 its reverse (21200201222), we get a palindrome (243302203342).

The spelling of 222102002120 in words is "two hundred twenty-two billion, one hundred two million, two thousand, one hundred twenty".