22101110201121 has 48 divisors (see below), whose sum is σ = 35212212858240. Its totient is φ = 12285616654080.

The previous prime is 22101110201083. The next prime is 22101110201141. The reversal of 22101110201121 is 12110201110122.

It is a happy number.

It is not a de Polignac number, because 22101110201121 - 2¹⁷ = 22101110070049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22101110201121.

It is not an unprimeable number, because it can be changed into a prime (22101110201141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29429461 + ... + 30171101.

It is an arithmetic number, because the mean of its divisors is an integer number (733587767880).

Almost surely, 2^{22101110201121} is an apocalyptic number.

22101110201121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22101110201121 is a deficient number, since it is larger than the sum of its proper divisors (13111102657119).

22101110201121 is a wasteful number, since it uses less digits than its factorization.

22101110201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747174 (or 747167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22101110201121 its reverse (12110201110122), we get a palindrome (34211311311243).

Subtracting from 22101110201121 its reverse (12110201110122), we obtain a palindrome (9990909090999).

The spelling of 22101110201121 in words is "twenty-two trillion, one hundred one billion, one hundred ten million, two hundred one thousand, one hundred twenty-one".