212001022221101 has 8 divisors (see below), whose sum is σ = 212207924184984. Its totient is φ = 211794214761280.

The previous prime is 212001022221061. The next prime is 212001022221127. The reversal of 212001022221101 is 101122220100212.

It can be written as a sum of positive squares in 4 ways, for example, as 18209593252900 + 193791428968201 = 4267270^2 + 13920899^2 .

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 212001022221101 - 2¹⁴ = 212001022204717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212001022221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001022221301) 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, 19136810 + ... + 28110843.

It is an arithmetic number, because the mean of its divisors is an integer number (26525990523123).

Almost surely, 2^{212001022221101} is an apocalyptic number.

It is an amenable number.

212001022221101 is a deficient number, since it is larger than the sum of its proper divisors (206901963883).

212001022221101 is a wasteful number, since it uses less digits than its factorization.

212001022221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47252031.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212001022221101 its reverse (101122220100212), we get a palindrome (313123242321313).

The spelling of 212001022221101 in words is "two hundred twelve trillion, one billion, twenty-two million, two hundred twenty-one thousand, one hundred one".