221102211002010 has 256 divisors, whose sum is σ = 610634094336000. Its totient is φ = 50781579070464.

The previous prime is 221102211001951. The next prime is 221102211002017. The reversal of 221102211002010 is 10200112201122.

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

It is not an unprimeable number, because it can be changed into a prime (221102211002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2838280041 + ... + 2838357939.

It is an arithmetic number, because the mean of its divisors is an integer number (2385289431000).

Almost surely, 2^{221102211002010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102211002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305317047168000).

221102211002010 is an abundant number, since it is smaller than the sum of its proper divisors (389531883333990).

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

221102211002010 is a wasteful number, since it uses less digits than its factorization.

221102211002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83725.

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

Adding to 221102211002010 its reverse (10200112201122), we get a palindrome (231302323203132).

The spelling of 221102211002010 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred eleven million, two thousand, ten".