2121102000220 has 96 divisors (see below), whose sum is σ = 5361405073920. Its totient is φ = 688595385600.

The previous prime is 2121102000191. The next prime is 2121102000247. The reversal of 2121102000220 is 220002011212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121102000220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4846927 + ... + 5266393.

It is an arithmetic number, because the mean of its divisors is an integer number (55847969520).

Almost surely, 2^{2121102000220} is an apocalyptic number.

2121102000220 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 2121102000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680702536960).

2121102000220 is an abundant number, since it is smaller than the sum of its proper divisors (3240303073700).

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

2121102000220 is a wasteful number, since it uses less digits than its factorization.

2121102000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421403 (or 421401 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2121102000220 its reverse (220002011212), we get a palindrome (2341104011432).

The spelling of 2121102000220 in words is "two trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty", and thus it is an aban number.