22101100110121 has 8 divisors (see below), whose sum is σ = 22900504267080. Its totient is φ = 21304182436992.

The previous prime is 22101100110101. The next prime is 22101100110157. The reversal of 22101100110121 is 12101100110122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 433937070121 + 21667163040000 = 658739^2 + 4654800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22101100110121 - 2⁷ = 22101100109993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101100110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621602860 + ... + 621638413.

It is an arithmetic number, because the mean of its divisors is an integer number (2862563033385).

Almost surely, 2^{22101100110121} is an apocalyptic number.

It is an amenable number.

22101100110121 is a deficient number, since it is larger than the sum of its proper divisors (799404156959).

22101100110121 is a wasteful number, since it uses less digits than its factorization.

22101100110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243241915.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 22101100110121 its reverse (12101100110122), we get a palindrome (34202200220243).

Subtracting from 22101100110121 its reverse (12101100110122), we obtain a palindrome (9999999999999).

The spelling of 22101100110121 in words is "twenty-two trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred twenty-one".