21220222112101 has 8 divisors (see below), whose sum is σ = 22311822007800. Its totient is φ = 20152613423040.

The previous prime is 21220222112083. The next prime is 21220222112119. The reversal of 21220222112101 is 10121122202212.

It is an interprime number because it is at equal distance from previous prime (21220222112083) and next prime (21220222112119).

It can be written as a sum of positive squares in 4 ways, for example, as 849722500 + 21219372389601 = 29150^2 + 4606449^2 .

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 21220222112101 - 2⁹ = 21220222111589 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 (21220222112701) 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, 5997799846 + ... + 5997803383.

It is an arithmetic number, because the mean of its divisors is an integer number (2788977750975).

Almost surely, 2^{21220222112101} is an apocalyptic number.

It is an amenable number.

21220222112101 is a deficient number, since it is larger than the sum of its proper divisors (1091599895699).

21220222112101 is a wasteful number, since it uses less digits than its factorization.

21220222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995603319.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21220222112101 its reverse (10121122202212), we get a palindrome (31341344314313).

The spelling of 21220222112101 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".