22101120110101 has 16 divisors (see below), whose sum is σ = 22276879679488. Its totient is φ = 21925862103600.

The previous prime is 22101120110009. The next prime is 22101120110131. The reversal of 22101120110101 is 10101102110122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22101120110101 - 2³³ = 22092530175509 is a prime.

It is a super-3 number, since 3×22101120110101³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101120110131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810412096 + ... + 810439366.

It is an arithmetic number, because the mean of its divisors is an integer number (1392304979968).

Almost surely, 2^{22101120110101} is an apocalyptic number.

It is an amenable number.

22101120110101 is a deficient number, since it is larger than the sum of its proper divisors (175759569387).

22101120110101 is a wasteful number, since it uses less digits than its factorization.

22101120110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36232.

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

Adding to 22101120110101 its reverse (10101102110122), we get a palindrome (32202222220223).

The spelling of 22101120110101 in words is "twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred ten thousand, one hundred one".