2122011210220 has 144 divisors (see below), whose sum is σ = 4948724368224. Its totient is φ = 758010009600.

The previous prime is 2122011210211. The next prime is 2122011210223. The reversal of 2122011210220 is 220121102212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122011210194 and 2122011210203.

It is not an unprimeable number, because it can be changed into a prime (2122011210223) 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 47 ways as a sum of consecutive naturals, for example, 992984992 + ... + 992987128.

It is an arithmetic number, because the mean of its divisors is an integer number (34366141446).

Almost surely, 2^{2122011210220} is an apocalyptic number.

2122011210220 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 2122011210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474362184112).

2122011210220 is an abundant number, since it is smaller than the sum of its proper divisors (2826713158004).

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

2122011210220 is a wasteful number, since it uses less digits than its factorization.

2122011210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122011210220 its reverse (220121102212), we get a palindrome (2342132312432).

The spelling of 2122011210220 in words is "two trillion, one hundred twenty-two billion, eleven million, two hundred ten thousand, two hundred twenty".