212221100021101 has 8 divisors (see below), whose sum is σ = 212387547011000. Its totient is φ = 212054706466560.

The previous prime is 212221100020987. The next prime is 212221100021209. The reversal of 212221100021101 is 101120001122212.

It can be written as a sum of positive squares in 4 ways, for example, as 139481438171076 + 72739661850025 = 11810226^2 + 8528755^2 .

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 212221100021101 - 2¹⁷ = 212221099890029 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 (212221100061101) 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, 5410776 + ... + 21300673.

It is an arithmetic number, because the mean of its divisors is an integer number (26548443376375).

Almost surely, 2^{212221100021101} is an apocalyptic number.

It is an amenable number.

212221100021101 is a deficient number, since it is larger than the sum of its proper divisors (166446989899).

212221100021101 is a wasteful number, since it uses less digits than its factorization.

212221100021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26717679.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212221100021101 its reverse (101120001122212), we get a palindrome (313341101143313).

The spelling of 212221100021101 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred million, twenty-one thousand, one hundred one".