21101100221101 has 8 divisors (see below), whose sum is σ = 21108269744120. Its totient is φ = 21093931187712.

The previous prime is 21101100221093. The next prime is 21101100221137. The reversal of 21101100221101 is 10112200110112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5218364571876 + 15882735649225 = 2284374^2 + 3985315^2 .

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 21101100221101 - 2³ = 21101100221093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101100221141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99724945 + ... + 99936313.

It is an arithmetic number, because the mean of its divisors is an integer number (2638533718015).

Almost surely, 2^{21101100221101} is an apocalyptic number.

It is an amenable number.

21101100221101 is a deficient number, since it is larger than the sum of its proper divisors (7169523019).

21101100221101 is a wasteful number, since it uses less digits than its factorization.

21101100221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244815.

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

Adding to 21101100221101 its reverse (10112200110112), we get a palindrome (31213300331213).

The spelling of 21101100221101 in words is "twenty-one trillion, one hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred one".