12211020102210 has 256 divisors, whose sum is σ = 32141198960640. Its totient is φ = 2956470865920.

The previous prime is 12211020102187. The next prime is 12211020102217. The reversal of 12211020102210 is 1220102011221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211020102210.

It is not an unprimeable number, because it can be changed into a prime (12211020102217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5386421497 + ... + 5386423763.

It is an arithmetic number, because the mean of its divisors is an integer number (125551558440).

Almost surely, 2^{12211020102210} is an apocalyptic number.

12211020102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211020102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070599480320).

12211020102210 is an abundant number, since it is smaller than the sum of its proper divisors (19930178858430).

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

12211020102210 is a wasteful number, since it uses less digits than its factorization.

12211020102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211020102210 its reverse (1220102011221), we get a palindrome (13431122113431).

The spelling of 12211020102210 in words is "twelve trillion, two hundred eleven billion, twenty million, one hundred two thousand, two hundred ten".