221022122111010 has 288 divisors, whose sum is σ = 651064336363584. Its totient is φ = 53573976720000.

The previous prime is 221022122111009. The next prime is 221022122111053. The reversal of 221022122111010 is 10111221220122.

221022122111010 is a `hidden beast` number, since 2 + 210 + 221 + 2 + 211 + 10 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7145635245 + ... + 7145666175.

It is an arithmetic number, because the mean of its divisors is an integer number (2260640056818).

Almost surely, 2^{221022122111010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022122111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325532168181792).

221022122111010 is an abundant number, since it is smaller than the sum of its proper divisors (430042214252574).

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

221022122111010 is an equidigital number, since it uses as much as digits as its factorization.

221022122111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40874 (or 40853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221022122111010 its reverse (10111221220122), we get a palindrome (231133343331132).

The spelling of 221022122111010 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, ten".