2102222211120 has 60 divisors (see below), whose sum is σ = 7059962928096. Its totient is φ = 560592589440.

The previous prime is 2102222210911. The next prime is 2102222211137. The reversal of 2102222211120 is 211122222012.

It is a happy number.

2102222211120 is a `hidden beast` number, since 210 + 2 + 222 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102222211093 and 2102222211102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459875816 + ... + 1459877255.

Almost surely, 2^{2102222211120} is an apocalyptic number.

2102222211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102222211120 is an abundant number, since it is smaller than the sum of its proper divisors (4957740716976).

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

2102222211120 is a wasteful number, since it uses less digits than its factorization.

2102222211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919753090 (or 2919753081 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102222211120 its reverse (211122222012), we get a palindrome (2313344433132).

The spelling of 2102222211120 in words is "two trillion, one hundred two billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty".