21211001021101 has 8 divisors (see below), whose sum is σ = 21213335244024. Its totient is φ = 21208666967040.

The previous prime is 21211001021083. The next prime is 21211001021107. The reversal of 21211001021101 is 10112010011212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1332867941001 + 19878133080100 = 1154499^2 + 4458490^2 .

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 21211001021101 - 2⁹ = 21211001020589 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 (21211001021107) 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, 595512445 + ... + 595548061.

It is an arithmetic number, because the mean of its divisors is an integer number (2651666905503).

Almost surely, 2^{21211001021101} is an apocalyptic number.

It is an amenable number.

21211001021101 is a deficient number, since it is larger than the sum of its proper divisors (2334222923).

21211001021101 is a wasteful number, since it uses less digits than its factorization.

21211001021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84431.

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

Adding to 21211001021101 its reverse (10112010011212), we get a palindrome (31323011032313).

The spelling of 21211001021101 in words is "twenty-one trillion, two hundred eleven billion, one million, twenty-one thousand, one hundred one".