22221002122011 has 144 divisors (see below), whose sum is σ = 44083888692480. Its totient is φ = 10864352862720.

The previous prime is 22221002122009. The next prime is 22221002122019. The reversal of 22221002122011 is 11022120012222.

It is a happy number.

22221002122011 is a `hidden beast` number, since 222 + 210 + 0 + 2 + 1 + 220 + 11 = 666.

It is not a de Polignac number, because 22221002122011 - 2¹ = 22221002122009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22221002122019) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3352825 + ... + 7462133.

It is an arithmetic number, because the mean of its divisors is an integer number (306138115920).

Almost surely, 2^{22221002122011} is an apocalyptic number.

22221002122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22221002122011 is a deficient number, since it is larger than the sum of its proper divisors (21862886570469).

22221002122011 is a wasteful number, since it uses less digits than its factorization.

22221002122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109376 (or 4109347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221002122011 its reverse (11022120012222), we get a palindrome (33243122134233).

The spelling of 22221002122011 in words is "twenty-two trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, eleven".