22101100211101 has 8 divisors (see below), whose sum is σ = 22641176388600. Its totient is φ = 21561072840960.

The previous prime is 22101100211093. The next prime is 22101100211131. The reversal of 22101100211101 is 10111200110122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125153212900 + 21975946998201 = 353770^2 + 4687851^2 .

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 22101100211101 - 2³ = 22101100211093 is a prime.

It is a super-2 number, since 2×22101100211101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101100211131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11284296 + ... + 13097233.

It is an arithmetic number, because the mean of its divisors is an integer number (2830147048575).

Almost surely, 2^{22101100211101} is an apocalyptic number.

It is an amenable number.

22101100211101 is a deficient number, since it is larger than the sum of its proper divisors (540076177499).

22101100211101 is a wasteful number, since it uses less digits than its factorization.

22101100211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24403679.

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

Adding to 22101100211101 its reverse (10111200110122), we get a palindrome (32212300321223).

The spelling of 22101100211101 in words is "twenty-two trillion, one hundred one billion, one hundred million, two hundred eleven thousand, one hundred one".