21213101101 has 2 divisors, whose sum is σ = 21213101102. Its totient is φ = 21213101100.

The previous prime is 21213101059. The next prime is 21213101131. The reversal of 21213101101 is 10110131212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20945615076 + 267486025 = 144726^2 + 16355^2 .

It is a cyclic number.

It is not a de Polignac number, because 21213101101 - 2²⁹ = 20676230189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21213101131) 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 as a sum of consecutive naturals, namely, 10606550550 + 10606550551.

It is an arithmetic number, because the mean of its divisors is an integer number (10606550551).

Almost surely, 2^21213101101 is an apocalyptic number.

It is an amenable number.

21213101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213101101 is an equidigital number, since it uses as much as digits as its factorization.

21213101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 21213101101 its reverse (10110131212), we get a palindrome (31323232313).

The spelling of 21213101101 in words is "twenty-one billion, two hundred thirteen million, one hundred one thousand, one hundred one".