22102212101121 has 24 divisors (see below), whose sum is σ = 33344818555776. Its totient is φ = 14080905241920.

The previous prime is 22102212101093. The next prime is 22102212101173. The reversal of 22102212101121 is 12110121220122.

22102212101121 is a `hidden beast` number, since 2 + 210 + 221 + 210 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 22102212101121 - 2¹¹ = 22102212099073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22102212101094 and 22102212101103.

It is not an unprimeable number, because it can be changed into a prime (22102212101521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50002900 + ... + 50442981.

It is an arithmetic number, because the mean of its divisors is an integer number (1389367439824).

Almost surely, 2^{22102212101121} is an apocalyptic number.

It is an amenable number.

22102212101121 is a deficient number, since it is larger than the sum of its proper divisors (11242606454655).

22102212101121 is a wasteful number, since it uses less digits than its factorization.

22102212101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100446973 (or 100446970 counting only the distinct ones).

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

Adding to 22102212101121 its reverse (12110121220122), we get a palindrome (34212333321243).

The spelling of 22102212101121 in words is "twenty-two trillion, one hundred two billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".