2102222112120 has 384 divisors, whose sum is σ = 7640692899840. Its totient is φ = 497773071360.

The previous prime is 2102222112059. The next prime is 2102222112127. The reversal of 2102222112120 is 212112222012.

It is a happy number.

2102222112120 is a `hidden beast` number, since 21 + 0 + 222 + 211 + 212 + 0 = 666.

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 = 2102222112093 and 2102222112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102222112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24184977 + ... + 24271743.

It is an arithmetic number, because the mean of its divisors is an integer number (19897637760).

Almost surely, 2^{2102222112120} is an apocalyptic number.

2102222112120 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 2102222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820346449920).

2102222112120 is an abundant number, since it is smaller than the sum of its proper divisors (5538470787720).

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

2102222112120 is a wasteful number, since it uses less digits than its factorization.

2102222112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86995 (or 86988 counting only the distinct ones).

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

Adding to 2102222112120 its reverse (212112222012), we get a palindrome (2314334334132).

The spelling of 2102222112120 in words is "two trillion, one hundred two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".