2121102210220 has 96 divisors (see below), whose sum is σ = 5204462118912. Its totient is φ = 711008272128.

The previous prime is 2121102210197. The next prime is 2121102210223. The reversal of 2121102210220 is 220122011212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121102210194 and 2121102210203.

It is not an unprimeable number, because it can be changed into a prime (2121102210223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6061062 + ... + 6401458.

It is an arithmetic number, because the mean of its divisors is an integer number (54213147072).

Almost surely, 2^{2121102210220} is an apocalyptic number.

2121102210220 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 2121102210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602231059456).

2121102210220 is an abundant number, since it is smaller than the sum of its proper divisors (3083359908692).

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

2121102210220 is a wasteful number, since it uses less digits than its factorization.

2121102210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341407 (or 341405 counting only the distinct ones).

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

Adding to 2121102210220 its reverse (220122011212), we get a palindrome (2341224221432).

The spelling of 2121102210220 in words is "two trillion, one hundred twenty-one billion, one hundred two million, two hundred ten thousand, two hundred twenty".