2102212112220 has 288 divisors, whose sum is σ = 7206848953920. Its totient is φ = 508349952000.

The previous prime is 2102212112213. The next prime is 2102212112267. The reversal of 2102212112220 is 222112122012.

It is a happy number.

2102212112220 is a `hidden beast` number, since 2 + 10 + 221 + 211 + 2 + 220 = 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 = 2102212112193 and 2102212112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26161224 + ... + 26241456.

It is an arithmetic number, because the mean of its divisors is an integer number (25023781090).

Almost surely, 2^{2102212112220} is an apocalyptic number.

2102212112220 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 2102212112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603424476960).

2102212112220 is an abundant number, since it is smaller than the sum of its proper divisors (5104636841700).

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

2102212112220 is a wasteful number, since it uses less digits than its factorization.

2102212112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80674 (or 80655 counting only the distinct ones).

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

Adding to 2102212112220 its reverse (222112122012), we get a palindrome (2324324234232).

The spelling of 2102212112220 in words is "two trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty".