2102211320220 has 144 divisors (see below), whose sum is σ = 6958412697600. Its totient is φ = 509480150400.

The previous prime is 2102211320203. The next prime is 2102211320233. The reversal of 2102211320220 is 220231122012.

2102211320220 is a `hidden beast` number, since 2 + 102 + 21 + 1 + 320 + 220 = 666.

It is a super-2 number, since 2×2102211320220² (a number of 25 digits) contains 22 as substring.

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 = 2102211320193 and 2102211320202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6800581 + ... + 7102979.

It is an arithmetic number, because the mean of its divisors is an integer number (48322310400).

Almost surely, 2^{2102211320220} is an apocalyptic number.

2102211320220 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 2102211320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479206348800).

2102211320220 is an abundant number, since it is smaller than the sum of its proper divisors (4856201377380).

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

2102211320220 is a wasteful number, since it uses less digits than its factorization.

2102211320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305936 (or 305931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102211320220 its reverse (220231122012), we get a palindrome (2322442442232).

The spelling of 2102211320220 in words is "two trillion, one hundred two billion, two hundred eleven million, three hundred twenty thousand, two hundred twenty".