22011122212101 has 48 divisors (see below), whose sum is σ = 35186054574528. Its totient is φ = 13148315980800.

The previous prime is 22011122212097. The next prime is 22011122212103. The reversal of 22011122212101 is 10121222111022.

22011122212101 is a `hidden beast` number, since 220 + 1 + 1 + 12 + 221 + 210 + 1 = 666.

It is not a de Polignac number, because 22011122212101 - 2² = 22011122212097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011122212103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3187020 + ... + 7360661.

It is an arithmetic number, because the mean of its divisors is an integer number (733042803636).

Almost surely, 2^{22011122212101} is an apocalyptic number.

It is an amenable number.

22011122212101 is a deficient number, since it is larger than the sum of its proper divisors (13174932362427).

22011122212101 is a wasteful number, since it uses less digits than its factorization.

22011122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548002 (or 10547999 counting only the distinct ones).

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

Adding to 22011122212101 its reverse (10121222111022), we get a palindrome (32132344323123).

The spelling of 22011122212101 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, two hundred twelve thousand, one hundred one".